Chern Numbers for Spin Models of Transition Metal Nanomagnets

Details Chern Numbers for Spin Models of Transition Metal Nanomagnets Chern Numbers for Spin Models of Transition Metal Nanomagnets

2003-03-26

arxiv.org/abs/cond-mat/0303555v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.91.046805

We argue that ferromagnetic transition metal nanoparticles with fewer than approximately 100 atoms can be described by an effective Hamiltonian with a single giant spin degree of freedom. The total spin $S$ of the effective Hamiltonian is specified by a Berry curvature Chern number that characterizes the topologically non-trivial dependence of a nanoparticle's many-electron wavefunction on magnetization orientation. The Berry curvatures and associated Chern numbers have a complex dependence on spin-orbit coupling in the nanoparticle and influence the semiclassical Landau-Liftshitz equations that describe magnetization orientation dynamics.

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