Higher-order magnetic anisotropy in soft-hard magnetic materials

Nguyen Thanh Binh*, Sarah Jenkins, Sergiu Ruta, Richard F.L. Evans, Roy W. Chantrell

*Corresponding author for this work

Research output: Contribution to journalLetterpeer-review


We have computationally studied the properties of higher-order magnetic anisotropy constants in an L10/A1-FePt core-shell system which is characterized by a strong second-order two-ion Fe-Pt anisotropy component. We show that the core-shell structure induces an unexpected fourth-order anisotropy constant K2, the magnitude of which varies nonmonotonically with the core-size ratio R reaching a peak at R≈0.50. Furthermore, we find that K2 scales with the normalized magnetization by (M/Ms)2.2 at temperatures below the Curie temperature, a remarkable deviation from the established Callen-Callen theory which instead predicts a scaling exponent of 10. We construct an analytic model which demonstrates K2 arises from the canting of the core and shell magnetization, and successfully reproduces and justifies the scaling exponent obtained from numerical simulation.

Original languageEnglish
Article numberL041410
Number of pages6
JournalPhysical Review B
Issue number4
Publication statusPublished - 27 Jan 2023

Bibliographical note

Funding Information:
The authors would like to thank Daniel Meilak for assistance with optimizing the simulated core-shell system. The financial support of the Advanced Storage Research Consortium (ASRC) is gratefully acknowledged. S.R. acknowledges funding from the EPSRC TERASWITCH project (project ID EP/T027916/1). S.J. acknowledges funding by the German Research Foundation (DFG) project No. 320163632. We are also grateful for computational support from the University of York High Performance Computing service, Viking, and the Research Computing team.

Publisher Copyright:
© 2023 American Physical Society. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

Cite this