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Phys Rev Lett. 2003 Jul 25;91(4):046805. Epub 2003 Jul 25.

Chern numbers for spin models of transition metal nanomagnets.

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Department of Technology, Kalmar University, 391 82 Kalmar, Sweden.

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  • Phys Rev Lett. 2005 Sep 2;95(10):109901.


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 nontrivial dependence of a nanoparticle's many-electron wave function 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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