Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models

Jack B. Collings; Ricardo Rama-Eiroa; Sarah Jenkins; Rubén M. Otxoa; Richard F.L. Evans; Roy W. Chantrell

doi:10.1109/INTERMAGShortPapers58606.2023.10228270

Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models

Jack B. Collings^*, Ricardo Rama-Eiroa, Sarah Jenkins, Rubén M. Otxoa, Richard F.L. Evans, Roy W. Chantrell

^*Corresponding author for this work

Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A general approach to the derivation of effective anisotropy fields for Landau-Lifshitz-Gilbert dynamics is presented. The approach is based on the gradient in spherical polar coordinates with the final results being expressed in Cartesian coordinates as usually applied in atomistic and micromagnetic model calculations. The approach is generally valid for all orders of anisotropies including higher order combinations of azimuthal and rotational anisotropies often found in functional magnetic materials especially permanent magnets. The anisotropies are represented in terms of spherical harmonics which have the important property of rational temperature scaling.

Original language	English
Title of host publication	2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9798350338362
DOIs	https://doi.org/10.1109/INTERMAGShortPapers58606.2023.10228270
Publication status	Published - 2023
Event	2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Sendai, Japan Duration: 15 May 2023 → 19 May 2023

Publication series

Name	2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings

Conference

Conference	2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023
Country/Territory	Japan
City	Sendai
Period	15/05/23 → 19/05/23

Bibliographical note

Publisher Copyright:
© 2023 IEEE.

Keywords

anisotropy
atomistic
LLB
LLG
micromagnetics

Access to Document

10.1109/INTERMAGShortPapers58606.2023.10228270

Cite this

Collings, J. B., Rama-Eiroa, R., Jenkins, S., Otxoa, R. M., Evans, R. F. L., & Chantrell, R. W. (2023). Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models. In 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings (2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/INTERMAGShortPapers58606.2023.10228270

Collings, Jack B. ; Rama-Eiroa, Ricardo ; Jenkins, Sarah et al. / Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models. 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings).

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abstract = "A general approach to the derivation of effective anisotropy fields for Landau-Lifshitz-Gilbert dynamics is presented. The approach is based on the gradient in spherical polar coordinates with the final results being expressed in Cartesian coordinates as usually applied in atomistic and micromagnetic model calculations. The approach is generally valid for all orders of anisotropies including higher order combinations of azimuthal and rotational anisotropies often found in functional magnetic materials especially permanent magnets. The anisotropies are represented in terms of spherical harmonics which have the important property of rational temperature scaling.",

keywords = "anisotropy, atomistic, LLB, LLG, micromagnetics",

author = "Collings, {Jack B.} and Ricardo Rama-Eiroa and Sarah Jenkins and Otxoa, {Rub{\'e}n M.} and Evans, {Richard F.L.} and Chantrell, {Roy W.}",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 ; Conference date: 15-05-2023 Through 19-05-2023",

year = "2023",

doi = "10.1109/INTERMAGShortPapers58606.2023.10228270",

language = "English",

series = "2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings",

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Collings, JB, Rama-Eiroa, R, Jenkins, S, Otxoa, RM, Evans, RFL & Chantrell, RW 2023, Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models. in 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings. 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings, Institute of Electrical and Electronics Engineers Inc., 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023, Sendai, Japan, 15/05/23. https://doi.org/10.1109/INTERMAGShortPapers58606.2023.10228270

Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models. / Collings, Jack B.; Rama-Eiroa, Ricardo; Jenkins, Sarah et al.
2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models

AU - Collings, Jack B.

AU - Rama-Eiroa, Ricardo

AU - Jenkins, Sarah

AU - Otxoa, Rubén M.

AU - Evans, Richard F.L.

AU - Chantrell, Roy W.

PY - 2023

Y1 - 2023

N2 - A general approach to the derivation of effective anisotropy fields for Landau-Lifshitz-Gilbert dynamics is presented. The approach is based on the gradient in spherical polar coordinates with the final results being expressed in Cartesian coordinates as usually applied in atomistic and micromagnetic model calculations. The approach is generally valid for all orders of anisotropies including higher order combinations of azimuthal and rotational anisotropies often found in functional magnetic materials especially permanent magnets. The anisotropies are represented in terms of spherical harmonics which have the important property of rational temperature scaling.

AB - A general approach to the derivation of effective anisotropy fields for Landau-Lifshitz-Gilbert dynamics is presented. The approach is based on the gradient in spherical polar coordinates with the final results being expressed in Cartesian coordinates as usually applied in atomistic and micromagnetic model calculations. The approach is generally valid for all orders of anisotropies including higher order combinations of azimuthal and rotational anisotropies often found in functional magnetic materials especially permanent magnets. The anisotropies are represented in terms of spherical harmonics which have the important property of rational temperature scaling.

KW - anisotropy

KW - atomistic

KW - LLB

KW - LLG

KW - micromagnetics

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U2 - 10.1109/INTERMAGShortPapers58606.2023.10228270

DO - 10.1109/INTERMAGShortPapers58606.2023.10228270

M3 - Conference contribution

AN - SCOPUS:85172729267

T3 - 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings

BT - 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023

Y2 - 15 May 2023 through 19 May 2023

ER -

Collings JB, Rama-Eiroa R, Jenkins S, Otxoa RM, Evans RFL , Chantrell RW. Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models. In 2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2023. (2023 IEEE International Magnetic Conference - Short Papers, INTERMAG Short Papers 2023 - Proceedings). doi: 10.1109/INTERMAGShortPapers58606.2023.10228270

Generalised Form of the Magnetic Anisotropy Field in Micromagnetic and Atomistic Spin Models

Abstract

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Bibliographical note

Keywords

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