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Phys. Rev. B 76, 174428 (2007) [13 pages]

Effective anisotropy of thin nanomagnets: Beyond the surface-anisotropy approach

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Jean-Guy Caputo1,2, Yuri Gaididei3, Volodymyr P. Kravchuk4, Franz G. Mertens5, and Denis D. Sheka4,*
1Laboratoire de Mathématiques, INSA de Rouen, Boîte Postale 8, 76131 Mont-Saint-Aignan Cedex, France
2Laboratoire de Physique Theorique et Modelisation, Université de Cergy-Pontoise and CNRS, Cergy-Pontoise 95011, France
3Institute for Theoretical Physics, 03143 Kiev, Ukraine
4National Taras Shevchenko University of Kiev, 03127 Kiev, Ukraine
5Physics Institute, University of Bayreuth, 95440 Bayreuth, Germany

Received 28 May 2007; published 15 November 2007

We study the effective anisotropy induced in thin nanomagnets by the nonlocal demagnetization field (dipole-dipole interaction). Assuming a magnetization independent of the thickness coordinate, we reduce the energy to an inhomogeneous on-site anisotropy. Vortex solutions exist and are ground states for this model. We illustrate our approach for a disk and a square geometry. In particular, we obtain good agreement between spin-lattice simulations with this effective anisotropy and micromagnetic simulations.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.76.174428
DOI:
10.1103/PhysRevB.76.174428
PACS:
75.10.Hk, 75.70.Ak, 75.40.Mg, 05.45.−a

*Corresponding author. denis̱sheka@univ.kiev.ua