
Riccardo HERTEL
Directeur de Recherche, Magnétisme des objets nanostructurés (DMONS)Riccardo.Hertel@ipcms.unistra.frTél: +33(0)3 88 10 70 83Bureau: 1006
Parcours de recherche
- Directeur de Recherche CNRS (depuis 2011)
- Directeur de l’Equipe “Simulation de Structures Magnétiques Mesoscopiques” , Peter Grünberg Institut, Forschungszentrum Jülich GmbH, Allemagne (2004-2010)
- Chercheur Invité: Institut Louis Néel, Grenoble, France (2003)
- Postdoc / Habilitation: Max-Planck-Institut für Mikrostrukturphysik, Halle, Allemagne (1999-2004)
Parcours universitaire
- Qualification de Professeur en France, CNU Section 28 (2012)
- Qualification de Professeur en Allemagne en Physique Théorique, Univ. Halle-Wittenberg, Allemagne (2005)
- Chercheur-enseignant Univ. Duisburg-Essen, Allemagne (2005-2010)
- Thèse de doctorat, Max-Planck-Institut für Metallforschung, Stuttgart, Allemagne (1999)
Recherches actuelles
- Micromagnétisme
- Structures topologiques dans les matériaux ferroïques
- Nanostructures magnétiques tridimensionnelles
- Dynamique rapide de l’aimantation
- Théorie et simulations
- Développement de méthodes numériques
- Simulations par éléments finis

Développement logiciel
- Découvrez tetmag, notre logiciel micromagnétique d’éléments finis accéléré par GPU, et sa documentation.
Publications récentes
Pour une liste exhaustive voir ORCID ou google scholar.
1839302
hertel
1
surface-science-reports
10
date
desc
year
4907
https://www.ipcms.unistra.fr/plugins/zotpress/
%7B%22status%22%3A%22success%22%2C%22updateneeded%22%3Afalse%2C%22instance%22%3Afalse%2C%22meta%22%3A%7B%22request_last%22%3A0%2C%22request_next%22%3A0%2C%22used_cache%22%3Atrue%7D%2C%22data%22%3A%5B%7B%22key%22%3A%22GQ7JCSGR%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22Gallard%20and%20Hertel%22%2C%22parsedDate%22%3A%222025%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3EL.%20Gallard%2C%20R.%20Hertel%2C%20Topological%20characterization%20of%20Hopfions%20in%20finite-element%20micromagnetics%2C%20Journal%20of%20Applied%20Physics%20138%20%282025%29%20043907.%20%3Ca%20class%3D%27zp-ItemURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1063%5C%2F5.0280041%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1063%5C%2F5.0280041%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%22Topological%20characterization%20of%20Hopfions%20in%20finite-element%20micromagnetics%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Louis%22%2C%22lastName%22%3A%22Gallard%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%5D%2C%22abstractNote%22%3A%22Topological%20magnetic%20structures%2C%20such%20as%20Hopfions%2C%20are%20central%20to%20three-dimensional%20magnetism%2C%20but%20their%20characterization%20in%20complex%20geometries%20remains%20challenging.%20We%20introduce%20a%20robust%20finite-element%20method%20for%20calculating%20the%20Hopf%20index%20in%20micromagnetic%20simulations%20of%20three-dimensional%20nanostructures.%20By%20employing%20the%20Biot%5Cu2013Savart%20form%20for%20the%20vector%20potential%2C%20our%20approach%20ensures%20gauge-invariant%20results%2C%20even%20in%20multiply%20connected%20geometries%20like%20tori.%20A%20novel%20variance-based%20correction%20scheme%20significantly%20reduces%20numerical%20errors%20in%20highly%20inhomogeneous%20textures%2C%20achieving%20accurate%20Hopf%20index%20values%20with%20fast%20mesh-dependent%20convergence.%20We%20validate%20the%20method%20using%20an%20analytically%20defined%20Hopfion%20structure%20and%20demonstrate%20its%20ability%20to%20detect%20topological%20transitions%20through%20a%20simulation%20of%20a%20Hopfion%5Cu2019s%20field-induced%20destruction%20into%20a%20toron%2C%20marked%20by%20an%20abrupt%20change%20in%20the%20Hopf%20index.%20This%20method%20enables%20precise%20quantification%20of%20topological%20features%20in%20complex%20three-dimensional%20magnetic%20textures%20forming%20in%20finite-element%20micromagnetic%20simulations%2C%20offering%20a%20powerful%20tool%20for%20advancing%20topological%20magnetism%20studies%20in%20general%20geometries.%22%2C%22date%22%3A%222025%22%2C%22language%22%3A%22%22%2C%22DOI%22%3A%2210.1063%5C%2F5.0280041%22%2C%22ISSN%22%3A%220021-8979%22%2C%22url%22%3A%22https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1063%5C%2F5.0280041%22%2C%22collections%22%3A%5B%22UVN4N32C%22%2C%22GA3EX26X%22%2C%22TNQHCIHT%22%5D%2C%22dateModified%22%3A%222025-08-29T10%3A49%3A10Z%22%7D%7D%2C%7B%22key%22%3A%22WPNIXXQP%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22Morozovska%20et%20al.%22%2C%22parsedDate%22%3A%222025%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3EA.N.%20Morozovska%2C%20S.%20Cherifi-Hertel%2C%20E.A.%20Eliseev%2C%20V.V.%20Khist%2C%20R.%20Hertel%2C%20D.R.%20Evans%2C%20The%20role%20of%20flexoelectric%20coupling%20and%20chemical%20strains%20in%20the%20emergence%20of%20polar%20chiral%20nano-structures%2C%20Journal%20of%20Applied%20Physics%20138%20%282025%29%20030701.%20%3Ca%20class%3D%27zp-ItemURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1063%5C%2F5.0277483%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1063%5C%2F5.0277483%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%22The%20role%20of%20flexoelectric%20coupling%20and%20chemical%20strains%20in%20the%20emergence%20of%20polar%20chiral%20nano-structures%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Anna%20N.%22%2C%22lastName%22%3A%22Morozovska%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Salia%22%2C%22lastName%22%3A%22Cherifi-Hertel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Eugene%20A.%22%2C%22lastName%22%3A%22Eliseev%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Victoria%20V.%22%2C%22lastName%22%3A%22Khist%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Dean%20R.%22%2C%22lastName%22%3A%22Evans%22%7D%5D%2C%22abstractNote%22%3A%22This%20theoretical%20review%20examines%20the%20conditions%20that%20give%20rise%20to%20the%20formation%20of%20flexo-sensitive%20chiral%20polar%20structures%20in%20thin%20films%20and%20core%5Cu2013shell%20ferroelectric%20nanoparticles.%20It%20also%20analyzes%20possible%20mechanisms%20by%20which%20the%20flexoelectric%20effect%20impacts%20the%20polarization%20structure%20in%20core%5Cu2013shell%20ferroelectric%20nanoparticles.%20Special%20attention%20is%20given%20to%20the%20role%20of%20the%20anisotropic%20flexoelectric%20effect%20in%20forming%20a%20unique%20type%20of%20polarization%20states%20with%20distinct%20chiral%20properties%2C%20referred%20to%20as%20%5Cu201cflexons.%5Cu201d%20In%20the%20first%20half%20of%20the%20review%2C%20we%20study%20the%20influence%20of%20the%20flexoelectric%20coupling%20on%20the%20polarity%2C%20chirality%2C%20and%20branching%20of%20metastable%20labyrinthine%20domain%20structures%20in%20uniaxial%20ferroelectric%20core%5Cu2013shell%20nanoparticles.%20We%20reveal%20that%20the%20transition%20from%20sinuous%20branched%20domain%20stripes%20to%20spiral-like%20domains%20occurs%20gradually%20as%20the%20flexoelectric%20coupling%20strength%20is%20increased.%20Our%20findings%20indicate%20that%20the%20joint%20action%20of%20the%20flexoelectric%20effect%20and%20chemical%20strains%2C%20termed%20as%20%5Cu201cflexo-chemical%5Cu201d%20coupling%2C%20can%20significantly%20influence%20the%20effective%20Curie%20temperature%2C%20polarization%20distribution%2C%20domain%20morphology%2C%20and%20chirality%20in%20multiaxial%20ferroelectric%20core%5Cu2013shell%20nanoparticles.%20Furthermore%2C%20we%20demonstrate%20that%20the%20combination%20of%20flexo-chemical%20coupling%20and%20screening%20effects%20leads%20to%20the%20appearance%20and%20stabilization%20of%20a%20chiral%20polarization%20morphology%20in%20nanoflakes%20of%20van%20der%20Waals%20ferrielectrics%20covered%20by%20a%20shell%20of%20ionic-electronic%20screening%20charge.%20In%20the%20second%20half%20of%20the%20review%2C%20we%20discuss%20several%20advanced%20applications%20of%20flexo-sensitive%20chiral%20polar%20structures%20in%20core%5Cu2013shell%20ferroelectric%20nanoparticles%20for%20nanoelectronics%20elements%20and%20cryptography.%20We%20underline%20the%20possibilities%20of%20the%20flexoelectric%20control%20of%20multiple-degenerated%20labyrinthine%20states%2C%20which%20may%20correspond%20to%20a%20differential%20negative%20capacitance%20%28NC%29%20state%20stabilized%20in%20the%20uniaxial%20ferroelectric%20core%20by%20the%20presence%20of%20a%20screening%20shell.%20We%20show%20that%20the%20paraelectric-like%20state%20of%20van%20der%20Waals%20ferrielectric%20nanoflakes%20covered%20by%20a%20shell%20of%20ionic-electronic%20screening%20charge%20exhibits%20a%20pronounced%20NC%20effect%20over%20a%20relatively%20wide%20range%20of%20nanoflake%20thicknesses%2C%20flexo-chemical%20strains%2C%20and%20surface%20charge%20densities.%22%2C%22date%22%3A%222025%22%2C%22language%22%3A%22%22%2C%22DOI%22%3A%2210.1063%5C%2F5.0277483%22%2C%22ISSN%22%3A%220021-8979%22%2C%22url%22%3A%22https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1063%5C%2F5.0277483%22%2C%22collections%22%3A%5B%22DEB5KWFS%22%2C%22MKAFAH44%22%2C%22UVN4N32C%22%2C%22GA3EX26X%22%2C%22TNQHCIHT%22%5D%2C%22dateModified%22%3A%222025-08-29T10%3A55%3A09Z%22%7D%7D%2C%7B%22key%22%3A%22ULY6ZV6M%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22Knapman%20et%20al.%22%2C%22parsedDate%22%3A%222025%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3ER.%20Knapman%2C%20M.%20Azhar%2C%20A.%20Pignedoli%2C%20L.%20Gallard%2C%20R.%20Hertel%2C%20J.%20Leliaert%2C%20K.%20Everschor-Sitte%2C%20Numerical%20calculation%20of%20the%20Hopf%20index%20for%20three-dimensional%20magnetic%20textures%2C%20Physical%20Review%20B%20111%20%282025%29%20134408.%20%3Ca%20class%3D%27zp-DOIURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1103%5C%2FPhysRevB.111.134408%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1103%5C%2FPhysRevB.111.134408%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%22Numerical%20calculation%20of%20the%20Hopf%20index%20for%20three-dimensional%20magnetic%20textures%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22R.%22%2C%22lastName%22%3A%22Knapman%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22M.%22%2C%22lastName%22%3A%22Azhar%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22A.%22%2C%22lastName%22%3A%22Pignedoli%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Louis%22%2C%22lastName%22%3A%22Gallard%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22J.%22%2C%22lastName%22%3A%22Leliaert%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22K.%22%2C%22lastName%22%3A%22Everschor-Sitte%22%7D%5D%2C%22abstractNote%22%3A%22%22%2C%22date%22%3A%222025%22%2C%22language%22%3A%22English%22%2C%22DOI%22%3A%2210.1103%5C%2FPhysRevB.111.134408%22%2C%22ISSN%22%3A%22%22%2C%22url%22%3A%22https%3A%5C%2F%5C%2Flink.aps.org%5C%2Fdoi%5C%2F10.1103%5C%2FPhysRevB.111.134408%22%2C%22collections%22%3A%5B%22UVN4N32C%22%2C%22GA3EX26X%22%5D%2C%22dateModified%22%3A%222025-04-16T12%3A29%3A46Z%22%7D%7D%2C%7B%22key%22%3A%2228JIG4Z9%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22Gubbiotti%20et%20al.%22%2C%22parsedDate%22%3A%222025%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3EG.%20Gubbiotti%2C%20A.%20Barman%2C%20S.%20Ladak%2C%20C.%20Bran%2C%20D.%20Grundler%2C%20M.%20Huth%2C%20H.%20Plank%2C%20G.%20Schmidt%2C%20S.%20van%20Dijken%2C%20R.%20Streubel%2C%20O.V.%20Dobrovolskiy%2C%20V.%20Scagnoli%2C%20L.J.%20Heyderman%2C%20C.%20Donnelly%2C%20O.%20Hellwig%2C%20L.%20Fallarino%2C%20M.B.%20Jungfleisch%2C%20A.%20Farhan%2C%20N.%20Maccaferri%2C%20P.%20Vavassori%2C%20P.%20Fischer%2C%20R.%20Tomasello%2C%20G.%20Finocchio%2C%20R.%20Clerac%2C%20R.%20Sessoli%2C%20D.%20Makarov%2C%20D.%20Sheka%2C%20M.%20Krawczyk%2C%20R.A.%20Gallardo%2C%20P.%20Landeros%2C%20M.%20d%26%23x2019%3BAquino%2C%20R.%20Hertel%2C%20P.%20Pirro%2C%20F.%20Ciubotaru%2C%20M.%20Becherer%2C%20J.%20Gartside%2C%20T.%20Ono%2C%20P.%20Bortolotti%2C%20A.%20Fernandez-Pacheco%2C%202025%20Roadmap%20on%203D%20Nano-magnetism.%2C%20Journal%20of%20Physics.%20Condensed%20Matter%2037%20%282025%29%20143502.%20%3Ca%20class%3D%27zp-DOIURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1088%5C%2F1361-648X%5C%2Fad9655%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1088%5C%2F1361-648X%5C%2Fad9655%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%222025%20Roadmap%20on%203D%20Nano-magnetism.%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Gianluca%22%2C%22lastName%22%3A%22Gubbiotti%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Anjan%22%2C%22lastName%22%3A%22Barman%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Sam%22%2C%22lastName%22%3A%22Ladak%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Cristina%22%2C%22lastName%22%3A%22Bran%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Dirk%22%2C%22lastName%22%3A%22Grundler%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Michael%22%2C%22lastName%22%3A%22Huth%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Harald%22%2C%22lastName%22%3A%22Plank%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Georg%22%2C%22lastName%22%3A%22Schmidt%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Sebastiaan%22%2C%22lastName%22%3A%22van%20Dijken%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Robert%22%2C%22lastName%22%3A%22Streubel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Oleksandr%20V%22%2C%22lastName%22%3A%22Dobrovolskiy%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Valerio%22%2C%22lastName%22%3A%22Scagnoli%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Laura%20J%22%2C%22lastName%22%3A%22Heyderman%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Claire%22%2C%22lastName%22%3A%22Donnelly%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Olav%22%2C%22lastName%22%3A%22Hellwig%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Lorenzo%22%2C%22lastName%22%3A%22Fallarino%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22M%20Benjamin%22%2C%22lastName%22%3A%22Jungfleisch%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Alan%22%2C%22lastName%22%3A%22Farhan%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Nicolo%22%2C%22lastName%22%3A%22Maccaferri%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Paolo%22%2C%22lastName%22%3A%22Vavassori%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Peter%22%2C%22lastName%22%3A%22Fischer%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Tomasello%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Giovanni%22%2C%22lastName%22%3A%22Finocchio%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Rodolphe%22%2C%22lastName%22%3A%22Clerac%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Roberta%22%2C%22lastName%22%3A%22Sessoli%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Denys%22%2C%22lastName%22%3A%22Makarov%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Denis%22%2C%22lastName%22%3A%22Sheka%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Maciej%22%2C%22lastName%22%3A%22Krawczyk%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Rodolfo%20A%22%2C%22lastName%22%3A%22Gallardo%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Pedro%22%2C%22lastName%22%3A%22Landeros%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Massimiliano%22%2C%22lastName%22%3A%22d%27Aquino%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Philipp%22%2C%22lastName%22%3A%22Pirro%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Florin%22%2C%22lastName%22%3A%22Ciubotaru%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Markus%22%2C%22lastName%22%3A%22Becherer%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Jack%22%2C%22lastName%22%3A%22Gartside%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Teruo%22%2C%22lastName%22%3A%22Ono%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Paolo%22%2C%22lastName%22%3A%22Bortolotti%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Amalio%22%2C%22lastName%22%3A%22Fernandez-Pacheco%22%7D%5D%2C%22abstractNote%22%3A%22The%20transition%20from%20planar%20%282D%29%20to%20three-dimensional%20%283D%29%20magnetic%20nanostructures%20represents%20a%20significant%20advancement%20in%20both%20fundamental%20research%20and%20practical%20applications%2C%20offering%20vast%20potential%20for%20next-generation%20technologies%20like%20ultrahigh-density%20storage%2C%20memory%2C%20logic%2C%20and%20neuromorphic%20computing.%20Despite%20being%20a%20relatively%20new%20field%2C%20the%20emergence%20of%203D%20nanomagnetism%20presents%20numerous%20opportunities%20for%20innovation%2C%20prompting%20the%20creation%20of%20a%20comprehensive%20roadmap%20by%20leading%20international%20researchers.%20This%20roadmap%20aims%20to%20facilitate%20collaboration%20and%20interdisciplinary%20dialogue%20to%20address%20challenges%20in%20materials%20science%2C%20physics%2C%20engineering%2C%20and%20computing.The%20roadmap%20comprises%20eighteen%20sections%2C%20roughly%20divided%20into%20three%20parts.%20The%20first%20section%20explores%20the%20fundamentals%20of%203D%20nanomagnetism%2C%20focusing%20on%20recent%20trends%20in%20fabrication%20techniques%20and%20imaging%20methods%20crucial%20for%20understanding%20complex%20spin%20textures%2C%20curved%20surfaces%2C%20and%20small-scale%20interactions.%20Techniques%20such%20as%20two-photon%20lithography%20and%20focused%20electron%20beam-induced%20deposition%20enable%20the%20creation%20of%20intricate%203D%20architectures%2C%20while%20advanced%20imaging%20methods%20like%20electron%20holography%20and%20Lorentz%20electron%20Ptychography%20provide%20sub-nanometer%20resolution%20for%20studying%20magnetization%20dynamics%20in%20three%20dimensions.%20Various%203D%20magnetic%20systems%2C%20including%20coupled%20multilayer%20systems%2C%20artificial%20spin%20ice%2C%20magneto-plasmonic%20systems%2C%20topological%20spin%20textures%2C%20and%20molecular%20magnets%2C%20are%20discussed.The%20second%20section%20introduces%20analytical%20and%20numerical%20methods%20for%20investigating%203D%20nanomagnetic%20structures%20and%20curvilinear%20systems%2C%20highlighting%20geometrically%20curved%20architectures%2C%20interconnected%20nanowire%20systems%2C%20and%20other%20complex%20geometries.%20Finite%20element%20methods%20are%20emphasized%20for%20capturing%20complex%20geometries%2C%20along%20with%20direct%20frequency%20domain%20solutions%20for%20addressing%20magnonic%20problems.The%20final%20section%20focuses%20on%203D%20magnonic%20crystals%20and%20networks%2C%20exploring%20their%20fundamental%20properties%20and%20potential%20applications%20in%20magnonic%20circuits%2C%20memory%2C%20and%20spintronics.%20Computational%20approaches%20using%203D%20nanomagnetic%20systems%20and%20complex%20topological%20textures%20in%203D%20spintronics%20are%20highlighted%20for%20their%20potential%20to%20enable%20faster%20and%20more%20energy-efficient%20computing.%26%23xD.%22%2C%22date%22%3A%222025%22%2C%22language%22%3A%22English%22%2C%22DOI%22%3A%2210.1088%5C%2F1361-648X%5C%2Fad9655%22%2C%22ISSN%22%3A%221361-648X%22%2C%22url%22%3A%22http%3A%5C%2F%5C%2Fdx.doi.org%5C%2F10.1088%5C%2F1361-648X%5C%2Fad9655%22%2C%22collections%22%3A%5B%22UVN4N32C%22%2C%22GA3EX26X%22%5D%2C%22dateModified%22%3A%222025-02-21T13%3A03%3A59Z%22%7D%7D%2C%7B%22key%22%3A%22364IKKYG%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22Flebus%20et%20al.%22%2C%22parsedDate%22%3A%222024%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3EB.%20Flebus%2C%20D.%20Grundler%2C%20B.%20Rana%2C%20Y.%20Otani%2C%20I.%20Barsukov%2C%20A.%20Barman%2C%20G.%20Gubbiotti%2C%20P.%20Landeros%2C%20J.%20Akerman%2C%20U.%20Ebels%2C%20P.%20Pirro%2C%20V.E.%20Demidov%2C%20K.%20Schultheiss%2C%20G.%20Csaba%2C%20Q.%20Wang%2C%20F.%20Ciubotaru%2C%20D.E.%20Nikonov%2C%20P.%20Che%2C%20R.%20Hertel%2C%20T.%20Ono%2C%20D.%20Afanasiev%2C%20J.%20Mentink%2C%20T.%20Rasing%2C%20B.%20Hillebrands%2C%20S.V.%20Kusminskiy%2C%20W.%20Zhang%2C%20C.R.%20Du%2C%20A.%20Finco%2C%20T.%20van%20der%20Sar%2C%20Y.K.%20Luo%2C%20Y.%20Shiota%2C%20J.%20Sklenar%2C%20T.%20Yu%2C%20J.%20Rao%2C%20The%202024%20magnonics%20roadmap%2C%20Journal%20of%20Physics%3A%20Condensed%20Matter%2036%20%282024%29%20363501.%20%3Ca%20class%3D%27zp-DOIURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1088%5C%2F1361-648X%5C%2Fad399c%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1088%5C%2F1361-648X%5C%2Fad399c%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%22The%202024%20magnonics%20roadmap%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Benedetta%22%2C%22lastName%22%3A%22Flebus%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Dirk%22%2C%22lastName%22%3A%22Grundler%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Bivas%22%2C%22lastName%22%3A%22Rana%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22YoshiChika%22%2C%22lastName%22%3A%22Otani%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Igor%22%2C%22lastName%22%3A%22Barsukov%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Anjan%22%2C%22lastName%22%3A%22Barman%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Gianluca%22%2C%22lastName%22%3A%22Gubbiotti%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Pedro%22%2C%22lastName%22%3A%22Landeros%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Johan%22%2C%22lastName%22%3A%22Akerman%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Ursula%22%2C%22lastName%22%3A%22Ebels%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Philipp%22%2C%22lastName%22%3A%22Pirro%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Vladislav%20E.%22%2C%22lastName%22%3A%22Demidov%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Katrin%22%2C%22lastName%22%3A%22Schultheiss%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Gyorgy%22%2C%22lastName%22%3A%22Csaba%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Qi%22%2C%22lastName%22%3A%22Wang%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Florin%22%2C%22lastName%22%3A%22Ciubotaru%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Dmitri%20E.%22%2C%22lastName%22%3A%22Nikonov%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Ping%22%2C%22lastName%22%3A%22Che%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Teruo%22%2C%22lastName%22%3A%22Ono%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Dmytro%22%2C%22lastName%22%3A%22Afanasiev%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Johan%22%2C%22lastName%22%3A%22Mentink%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Theo%22%2C%22lastName%22%3A%22Rasing%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Burkard%22%2C%22lastName%22%3A%22Hillebrands%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Silvia%20Viola%22%2C%22lastName%22%3A%22Kusminskiy%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Wei%22%2C%22lastName%22%3A%22Zhang%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Chunhui%20Rita%22%2C%22lastName%22%3A%22Du%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Aurore%22%2C%22lastName%22%3A%22Finco%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Toeno%20van%20der%22%2C%22lastName%22%3A%22Sar%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Yunqiu%20Kelly%22%2C%22lastName%22%3A%22Luo%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Yoichi%22%2C%22lastName%22%3A%22Shiota%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Joseph%22%2C%22lastName%22%3A%22Sklenar%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Tao%22%2C%22lastName%22%3A%22Yu%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Jinwei%22%2C%22lastName%22%3A%22Rao%22%7D%5D%2C%22abstractNote%22%3A%22Magnonics%20is%20a%20research%20field%20that%20has%20gained%20an%20increasing%20interest%20in%20both%20the%20fundamental%20and%20applied%20sciences%20in%20recent%20years.%20This%20field%20aims%20to%20explore%20and%20functionalize%20collective%20spin%20excitations%20in%20magnetically%20ordered%20materials%20for%20modern%20information%20technologies%2C%20sensing%20applications%20and%20advanced%20computational%20schemes.%20Spin%20waves%2C%20also%20known%20as%20magnons%2C%20carry%20spin%20angular%20momenta%20that%20allow%20for%20the%20transmission%2C%20storage%20and%20processing%20of%20information%20without%20moving%20charges.%20In%20integrated%20circuits%2C%20magnons%20enable%20on-chip%20data%20processing%20at%20ultrahigh%20frequencies%20without%20the%20Joule%20heating%2C%20which%20currently%20limits%20clock%20frequencies%20in%20conventional%20data%20processors%20to%20a%20few%20GHz.%20Recent%20developments%20in%20the%20field%20indicate%20that%20functional%20magnonic%20building%20blocks%20for%20in-memory%20computation%2C%20neural%20networks%20and%20Ising%20machines%20are%20within%20reach.%20At%20the%20same%20time%2C%20the%20miniaturization%20of%20magnonic%20circuits%20advances%20continuously%20as%20the%20synergy%20of%20materials%20science%2C%20electrical%20engineering%20and%20nanotechnology%20allows%20for%20novel%20on-chip%20excitation%20and%20detection%20schemes.%20Such%20circuits%20can%20already%20enable%20magnon%20wavelengths%20of%2050%20nm%20at%20microwave%20frequencies%20in%20a%205G%20frequency%20band.%20Research%20into%20non-charge-based%20technologies%20is%20urgently%20needed%20in%20view%20of%20the%20rapid%20growth%20of%20machine%20learning%20and%20artificial%20intelligence%20applications%2C%20which%20consume%20substantial%20energy%20when%20implemented%20on%20conventional%20data%20processing%20units.%20In%20its%20first%20part%2C%20the%202024%20Magnonics%20Roadmap%20provides%20an%20update%20on%20the%20recent%20developments%20and%20achievements%20in%20the%20field%20of%20nano-magnonics%20while%20defining%20its%20future%20avenues%20and%20challenges.%20In%20its%20second%20part%2C%20the%20Roadmap%20addresses%20the%20rapidly%20growing%20research%20endeavors%20on%20hybrid%20structures%20and%20magnonics-enabled%20quantum%20engineering.%20We%20anticipate%20that%20these%20directions%20will%20continue%20to%20attract%20researchers%20to%20the%20field%20and%2C%20in%20addition%20to%20showcasing%20intriguing%20science%2C%20will%20enable%20unprecedented%20functionalities%20that%20enhance%20the%20efficiency%20of%20alternative%20information%20technologies%20and%20computational%20schemes.%22%2C%22date%22%3A%222024%22%2C%22language%22%3A%22English%22%2C%22DOI%22%3A%2210.1088%5C%2F1361-648X%5C%2Fad399c%22%2C%22ISSN%22%3A%22%22%2C%22url%22%3A%22https%3A%5C%2F%5C%2Fdx.doi.org%5C%2F10.1088%5C%2F1361-648X%5C%2Fad399c%22%2C%22collections%22%3A%5B%22UJZN2BUR%22%2C%22UVN4N32C%22%2C%22GA3EX26X%22%5D%2C%22dateModified%22%3A%222024-09-11T07%3A01%3A40Z%22%7D%7D%2C%7B%22key%22%3A%22U6XGDWDN%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22Go%5Cu0142%5Cu0119biewski%20et%20al.%22%2C%22parsedDate%22%3A%222024%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3EM.%20Go%26%23x142%3B%26%23x119%3Bbiewski%2C%20R.%20Hertel%2C%20M.%20d%26%23x2019%3BAquino%2C%20V.%20Vasyuchka%2C%20M.%20Weiler%2C%20P.%20Pirro%2C%20M.%20Krawczyk%2C%20S.%20Fukami%2C%20H.%20Ohno%2C%20J.%20Llandro%2C%20Collective%20Spin-Wave%20Dynamics%20in%20Gyroid%20Ferromagnetic%20Nanostructures%2C%20ACS%20Appl.%20Mater.%20Interfaces%2016%20%282024%29%2022177%26%23x2013%3B22188.%20%3Ca%20class%3D%27zp-ItemURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1021%5C%2Facsami.4c02366%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1021%5C%2Facsami.4c02366%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%22Collective%20Spin-Wave%20Dynamics%20in%20Gyroid%20Ferromagnetic%20Nanostructures%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Mateusz%22%2C%22lastName%22%3A%22Go%5Cu0142%5Cu0119biewski%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Massimiliano%22%2C%22lastName%22%3A%22d%5Cu2019Aquino%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Vitaliy%22%2C%22lastName%22%3A%22Vasyuchka%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Mathias%22%2C%22lastName%22%3A%22Weiler%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Philipp%22%2C%22lastName%22%3A%22Pirro%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Maciej%22%2C%22lastName%22%3A%22Krawczyk%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Shunsuke%22%2C%22lastName%22%3A%22Fukami%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Hideo%22%2C%22lastName%22%3A%22Ohno%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Justin%22%2C%22lastName%22%3A%22Llandro%22%7D%5D%2C%22abstractNote%22%3A%22%22%2C%22date%22%3A%222024%22%2C%22language%22%3A%22English%22%2C%22DOI%22%3A%2210.1021%5C%2Facsami.4c02366%22%2C%22ISSN%22%3A%221944-8244%22%2C%22url%22%3A%22https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1021%5C%2Facsami.4c02366%22%2C%22collections%22%3A%5B%22UJZN2BUR%22%2C%22UVN4N32C%22%2C%22GA3EX26X%22%5D%2C%22dateModified%22%3A%222024-09-11T07%3A01%3A46Z%22%7D%7D%2C%7B%22key%22%3A%22BN97B4QJ%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22d%27Aquino%20and%20Hertel%22%2C%22parsedDate%22%3A%222023%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3EM.%20d%26%23x2019%3BAquino%2C%20R.%20Hertel%2C%20Micromagnetic%20frequency-domain%20simulation%20methods%20for%20magnonic%20systems%2C%20Journal%20of%20Applied%20Physics%20133%20%282023%29%20033902.%20%3Ca%20class%3D%27zp-DOIURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1063%5C%2F5.0131922%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1063%5C%2F5.0131922%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%22Micromagnetic%20frequency-domain%20simulation%20methods%20for%20magnonic%20systems%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Massimiliano%22%2C%22lastName%22%3A%22d%27Aquino%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%5D%2C%22abstractNote%22%3A%22We%20present%20efficient%20numerical%20methods%20for%20the%20simulation%20of%20small%20magnetization%20oscillations%20in%20three-dimensional%20micromagnetic%20systems.%20Magnetization%20dynamics%20is%20described%20by%20the%20Landau-Lifshitz-Gilbert%20equation%2C%20linearized%20in%20the%20frequency%20domain%20around%20a%20generic%20equilibrium%20configuration%2C%20and%20formulated%20in%20a%20special%20operator%20form%20that%20allows%20leveraging%20large-scale%20techniques%20commonly%20used%20to%20evaluate%20the%20effective%20field%20in%20time-domain%20micromagnetic%20simulations.%20By%20using%20this%20formulation%2C%20we%20derive%20numerical%20algorithms%20to%20compute%20the%20free%20magnetization%20oscillations%20%28i.e.%2C%20spin%20wave%20eigenmodes%29%20as%20well%20as%20magnetization%20oscillations%20driven%20by%20ac%20radio-frequency%20fields%20for%20arbitrarily%20shaped%20nanomagnets.%20Moreover%2C%20semi-analytical%20perturbation%20techniques%20based%20on%20the%20computation%20of%20a%20reduced%20set%20of%20eigenmodes%20are%20provided%20for%20fast%20evaluation%20of%20magnetization%20frequency%20response%20and%20absorption%20spectra%20as%20a%20function%20of%20damping%20and%20ac%20field.%20We%20present%20both%20finite-difference%20and%20finite-element%20implementations%20and%20demonstrate%20their%20effectiveness%20on%20a%20test%20case.%20These%20techniques%20open%20the%20possibility%20to%20study%20generic%20magnonic%20systems%20discretized%20with%20several%20hundred%20thousands%20%28or%20even%20millions%29%20of%20computational%20cells%20in%20a%20reasonably%20short%20time.%22%2C%22date%22%3A%222023%22%2C%22language%22%3A%22%22%2C%22DOI%22%3A%2210.1063%5C%2F5.0131922%22%2C%22ISSN%22%3A%220021-8979%22%2C%22url%22%3A%22http%3A%5C%2F%5C%2Fdx.doi.org%5C%2F10.1063%5C%2F5.0131922%22%2C%22collections%22%3A%5B%22UJZN2BUR%22%2C%22UVN4N32C%22%2C%22GA3EX26X%22%5D%2C%22dateModified%22%3A%222024-09-11T07%3A00%3A34Z%22%7D%7D%2C%7B%22key%22%3A%22XNSXW6WL%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22Mark%5Cu00f3%20et%20al.%22%2C%22parsedDate%22%3A%222023%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3ED.%20Mark%26%23xF3%3B%2C%20R.%20Cheenikundil%2C%20J.%20Bauer%2C%20K.%20Lenz%2C%20W.-C.%20Chuang%2C%20K.-W.%20Lin%2C%20J.-C.%20Wu%2C%20M.%20d%26%23x2019%3BAquino%2C%20R.%20Hertel%2C%20D.S.%20Schmool%2C%20Interpretation%20of%20Spin-Wave%20Modes%20in%20%5C%5CmathrmCo%5C%2F%5C%5CmathrmAg%20Nanodot%20Arrays%20Probed%20by%20Broadband%20Ferromagnetic%20Resonance%2C%20Physical%20Review%20Applied%2020%20%282023%29%20024059.%20%3Ca%20class%3D%27zp-DOIURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1103%5C%2FPhysRevApplied.20.024059%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1103%5C%2FPhysRevApplied.20.024059%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%22Interpretation%20of%20Spin-Wave%20Modes%20in%20%5C%5CmathrmCo%5C%2F%5C%5CmathrmAg%20Nanodot%20Arrays%20Probed%20by%20Broadband%20Ferromagnetic%20Resonance%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Daniel%22%2C%22lastName%22%3A%22Mark%5Cu00f3%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Rajgowrav%22%2C%22lastName%22%3A%22Cheenikundil%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Julien%22%2C%22lastName%22%3A%22Bauer%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Kilian%22%2C%22lastName%22%3A%22Lenz%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Wan-Chen%22%2C%22lastName%22%3A%22Chuang%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Ko-Wei%22%2C%22lastName%22%3A%22Lin%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Jong-Ching%22%2C%22lastName%22%3A%22Wu%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Massimiliano%22%2C%22lastName%22%3A%22d%27Aquino%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22David%20S.%22%2C%22lastName%22%3A%22Schmool%22%7D%5D%2C%22abstractNote%22%3A%22%22%2C%22date%22%3A%222023%22%2C%22language%22%3A%22%22%2C%22DOI%22%3A%2210.1103%5C%2FPhysRevApplied.20.024059%22%2C%22ISSN%22%3A%22%22%2C%22url%22%3A%22https%3A%5C%2F%5C%2Flink.aps.org%5C%2Fdoi%5C%2F10.1103%5C%2FPhysRevApplied.20.024059%22%2C%22collections%22%3A%5B%22UJZN2BUR%22%2C%22UVN4N32C%22%2C%22GA3EX26X%22%5D%2C%22dateModified%22%3A%222024-09-11T07%3A00%3A51Z%22%7D%7D%2C%7B%22key%22%3A%22HBF7H768%22%2C%22library%22%3A%7B%22id%22%3A1839302%7D%2C%22meta%22%3A%7B%22creatorSummary%22%3A%22d%27Aquino%20et%20al.%22%2C%22parsedDate%22%3A%222023%22%2C%22numChildren%22%3A1%7D%2C%22bib%22%3A%22%3Cdiv%20class%3D%5C%22csl-bib-body%5C%22%20style%3D%5C%22line-height%3A%201.35%3B%20%5C%22%3E%5Cn%20%20%3Cdiv%20class%3D%5C%22csl-entry%5C%22%20style%3D%5C%22clear%3A%20left%3B%20%5C%22%3E%5Cn%20%20%20%20%3Cdiv%20class%3D%5C%22csl-left-margin%5C%22%20style%3D%5C%22float%3A%20left%3B%20padding-right%3A%200.5em%3B%20text-align%3A%20right%3B%20width%3A%201em%3B%5C%22%3E%5B1%5D%3C%5C%2Fdiv%3E%3Cdiv%20class%3D%5C%22csl-right-inline%5C%22%20style%3D%5C%22margin%3A%200%20.4em%200%201.5em%3B%5C%22%3EM.%20d%26%23x2019%3BAquino%2C%20S.%20Perna%2C%20M.%20Pancaldi%2C%20R.%20Hertel%2C%20S.%20Bonetti%2C%20C.%20Serpico%2C%20Micromagnetic%20study%20of%20inertial%20spin%20waves%20in%20ferromagnetic%20nanodots%2C%20Physical%20Review%20B%20107%20%282023%29%20144412.%20%3Ca%20class%3D%27zp-DOIURL%27%20href%3D%27https%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1103%5C%2FPhysRevB.107.144412%27%3Ehttps%3A%5C%2F%5C%2Fdoi.org%5C%2F10.1103%5C%2FPhysRevB.107.144412%3C%5C%2Fa%3E.%3C%5C%2Fdiv%3E%5Cn%20%20%3C%5C%2Fdiv%3E%5Cn%3C%5C%2Fdiv%3E%22%2C%22data%22%3A%7B%22itemType%22%3A%22journalArticle%22%2C%22title%22%3A%22Micromagnetic%20study%20of%20inertial%20spin%20waves%20in%20ferromagnetic%20nanodots%22%2C%22creators%22%3A%5B%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Massimiliano%22%2C%22lastName%22%3A%22d%27Aquino%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Salvatore%22%2C%22lastName%22%3A%22Perna%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Matteo%22%2C%22lastName%22%3A%22Pancaldi%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Riccardo%22%2C%22lastName%22%3A%22Hertel%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Stefano%22%2C%22lastName%22%3A%22Bonetti%22%7D%2C%7B%22creatorType%22%3A%22author%22%2C%22firstName%22%3A%22Claudio%22%2C%22lastName%22%3A%22Serpico%22%7D%5D%2C%22abstractNote%22%3A%22%22%2C%22date%22%3A%222023%22%2C%22language%22%3A%22English%22%2C%22DOI%22%3A%2210.1103%5C%2FPhysRevB.107.144412%22%2C%22ISSN%22%3A%22%22%2C%22url%22%3A%22https%3A%5C%2F%5C%2Flink.aps.org%5C%2Fdoi%5C%2F10.1103%5C%2FPhysRevB.107.144412%22%2C%22collections%22%3A%5B%22UJZN2BUR%22%2C%22UVN4N32C%22%2C%22GA3EX26X%22%5D%2C%22dateModified%22%3A%222024-09-11T07%3A00%3A40Z%22%7D%7D%5D%7D
[1]
L. Gallard, R. Hertel, Topological characterization of Hopfions in finite-element micromagnetics, Journal of Applied Physics 138 (2025) 043907. https://doi.org/10.1063/5.0280041.
[1]
A.N. Morozovska, S. Cherifi-Hertel, E.A. Eliseev, V.V. Khist, R. Hertel, D.R. Evans, The role of flexoelectric coupling and chemical strains in the emergence of polar chiral nano-structures, Journal of Applied Physics 138 (2025) 030701. https://doi.org/10.1063/5.0277483.
[1]
R. Knapman, M. Azhar, A. Pignedoli, L. Gallard, R. Hertel, J. Leliaert, K. Everschor-Sitte, Numerical calculation of the Hopf index for three-dimensional magnetic textures, Physical Review B 111 (2025) 134408. https://doi.org/10.1103/PhysRevB.111.134408.
[1]
G. Gubbiotti, A. Barman, S. Ladak, C. Bran, D. Grundler, M. Huth, H. Plank, G. Schmidt, S. van Dijken, R. Streubel, O.V. Dobrovolskiy, V. Scagnoli, L.J. Heyderman, C. Donnelly, O. Hellwig, L. Fallarino, M.B. Jungfleisch, A. Farhan, N. Maccaferri, P. Vavassori, P. Fischer, R. Tomasello, G. Finocchio, R. Clerac, R. Sessoli, D. Makarov, D. Sheka, M. Krawczyk, R.A. Gallardo, P. Landeros, M. d’Aquino, R. Hertel, P. Pirro, F. Ciubotaru, M. Becherer, J. Gartside, T. Ono, P. Bortolotti, A. Fernandez-Pacheco, 2025 Roadmap on 3D Nano-magnetism., Journal of Physics. Condensed Matter 37 (2025) 143502. https://doi.org/10.1088/1361-648X/ad9655.
[1]
B. Flebus, D. Grundler, B. Rana, Y. Otani, I. Barsukov, A. Barman, G. Gubbiotti, P. Landeros, J. Akerman, U. Ebels, P. Pirro, V.E. Demidov, K. Schultheiss, G. Csaba, Q. Wang, F. Ciubotaru, D.E. Nikonov, P. Che, R. Hertel, T. Ono, D. Afanasiev, J. Mentink, T. Rasing, B. Hillebrands, S.V. Kusminskiy, W. Zhang, C.R. Du, A. Finco, T. van der Sar, Y.K. Luo, Y. Shiota, J. Sklenar, T. Yu, J. Rao, The 2024 magnonics roadmap, Journal of Physics: Condensed Matter 36 (2024) 363501. https://doi.org/10.1088/1361-648X/ad399c.
[1]
M. Gołębiewski, R. Hertel, M. d’Aquino, V. Vasyuchka, M. Weiler, P. Pirro, M. Krawczyk, S. Fukami, H. Ohno, J. Llandro, Collective Spin-Wave Dynamics in Gyroid Ferromagnetic Nanostructures, ACS Appl. Mater. Interfaces 16 (2024) 22177–22188. https://doi.org/10.1021/acsami.4c02366.
[1]
M. d’Aquino, R. Hertel, Micromagnetic frequency-domain simulation methods for magnonic systems, Journal of Applied Physics 133 (2023) 033902. https://doi.org/10.1063/5.0131922.
[1]
D. Markó, R. Cheenikundil, J. Bauer, K. Lenz, W.-C. Chuang, K.-W. Lin, J.-C. Wu, M. d’Aquino, R. Hertel, D.S. Schmool, Interpretation of Spin-Wave Modes in \mathrmCo/\mathrmAg Nanodot Arrays Probed by Broadband Ferromagnetic Resonance, Physical Review Applied 20 (2023) 024059. https://doi.org/10.1103/PhysRevApplied.20.024059.
[1]
M. d’Aquino, S. Perna, M. Pancaldi, R. Hertel, S. Bonetti, C. Serpico, Micromagnetic study of inertial spin waves in ferromagnetic nanodots, Physical Review B 107 (2023) 144412. https://doi.org/10.1103/PhysRevB.107.144412.