Fluctuations and Dissipation of Coherent Magnetization

Details Fluctuations and Dissipation of Coherent Magnetization Fluctuations and Dissipation of Coherent Magnetization

2002-10-11

arxiv.org/abs/cond-mat/0210273v2

Physics

Condensed Matter

Materials Science

22 pages

Scientific paper

10.1103/PhysRevB.67.104434

A quantum mechanical model is used to derive a generalized Landau-Lifshitz equation for a magnetic moment, including fluctuations and dissipation. The model reproduces the Gilbert-Brown form of the equation in the classical limit. The magnetic moment is linearly coupled to a reservoir of bosonic degrees of freedom. Use of generalized coherent states makes the semiclassical limit more transparent within a path-integral formulation. A general fluctuation-dissipation theorem is derived. The magnitude of the magnetic moment also fluctuates beyond the Gaussian approximation. We discuss how the approximate stochastic description of the thermal field follows from our result. As an example, we go beyond the linear-response method and show how the thermal fluctuations become anisotropy-dependent even in the uniaxial case.

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