Constrained Monte Carlo method and calculation of the temperature dependence of magnetic anisotropy

P. Asselin, R. F.L. Evans, J. Barker, R. W. Chantrell, R. Yanes, O. Chubykalo-Fesenko, D. Hinzke, U. Nowak

Research output: Contribution to journalArticlepeer-review

98 Citations (Scopus)


We introduce a constrained Monte Carlo method which allows us to traverse the phase space of a classical spin system while fixing the magnetization direction. Subsequently we show the method's capability to model the temperature dependence of magnetic anisotropy, and for bulk uniaxial and cubic anisotropies we recover the low-temperature Callen-Callen power laws in M. We also calculate the temperature scaling of the two-ion anisotropy in L 10 FePt, and recover the experimentally observed M2.1 scaling. The method is newly applied to evaluate the temperature-dependent effective anisotropy in the presence of the Néel surface anisotropy in thin films with different easy-axis configurations. In systems having different surface and bulk easy axes, we show the capability to model the temperature-induced reorientation transition. The intrinsic surface anisotropy is found to follow a linear temperature behavior in a large range of temperatures.

Original languageEnglish
Article number054415
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number5
Publication statusPublished - 2010 Aug 11

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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