Homogenization of ferromagnetic multilayers in the presence of surface energies

Kévin Santugini-Repiquet

ESAIM: Control, Optimisation and Calculus of Variations (2007)

  • Volume: 13, Issue: 2, page 305-330
  • ISSN: 1292-8119

Abstract

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We study the homogenization process of ferromagnetic multilayers in the presence of surface energies: super-exchange, also called interlayer exchange coupling, and surface anisotropy. The two main difficulties are the non-linearity of the Landau-Lifshitz equation and the absence of a good sequence of extension operators for the multilayer geometry. First, we consider the case when surface anisotropy is the dominant term, then the case when the magnitude of the super-exchange interaction is inversely proportional to the interlayer distance. We establish the homogenized equation in these two situations.

How to cite

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Santugini-Repiquet, Kévin. "Homogenization of ferromagnetic multilayers in the presence of surface energies." ESAIM: Control, Optimisation and Calculus of Variations 13.2 (2007): 305-330. <http://eudml.org/doc/249990>.

@article{Santugini2007,
abstract = { We study the homogenization process of ferromagnetic multilayers in the presence of surface energies: super-exchange, also called interlayer exchange coupling, and surface anisotropy. The two main difficulties are the non-linearity of the Landau-Lifshitz equation and the absence of a good sequence of extension operators for the multilayer geometry. First, we consider the case when surface anisotropy is the dominant term, then the case when the magnitude of the super-exchange interaction is inversely proportional to the interlayer distance. We establish the homogenized equation in these two situations. },
author = {Santugini-Repiquet, Kévin},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Ferromagnetism; multilayers; Landau-Lifshitz equation; micromagnetic model; interlayer exchange coupling; surface anisotropy},
language = {eng},
month = {5},
number = {2},
pages = {305-330},
publisher = {EDP Sciences},
title = {Homogenization of ferromagnetic multilayers in the presence of surface energies},
url = {http://eudml.org/doc/249990},
volume = {13},
year = {2007},
}

TY - JOUR
AU - Santugini-Repiquet, Kévin
TI - Homogenization of ferromagnetic multilayers in the presence of surface energies
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2007/5//
PB - EDP Sciences
VL - 13
IS - 2
SP - 305
EP - 330
AB - We study the homogenization process of ferromagnetic multilayers in the presence of surface energies: super-exchange, also called interlayer exchange coupling, and surface anisotropy. The two main difficulties are the non-linearity of the Landau-Lifshitz equation and the absence of a good sequence of extension operators for the multilayer geometry. First, we consider the case when surface anisotropy is the dominant term, then the case when the magnitude of the super-exchange interaction is inversely proportional to the interlayer distance. We establish the homogenized equation in these two situations.
LA - eng
KW - Ferromagnetism; multilayers; Landau-Lifshitz equation; micromagnetic model; interlayer exchange coupling; surface anisotropy
UR - http://eudml.org/doc/249990
ER -

References

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  15. K. Santugini-Repiquet, Solutions to the Landau-Lifshitz system with nonhomogeneous Neumann boundary conditions arising from surface anisotropy and super-exchange interactions in a ferromagnetic media. Nonlinear Anal.65 (2006) 129–158.  Zbl1091.35096
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