Phys. Rev. Lett. 91, 046805 (2003) [4 pages]Chern Numbers for Spin Models of Transition Metal NanomagnetsSee Also: Erratum Received 30 January 2003; published 25 July 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.046805
DOI:
10.1103/PhysRevLett.91.046805
PACS:
73.22.–f, 75.50.Tt, 75.30.Gw, 75.75.+a
See AlsoErratum: C. M. Canali, A. Cehovin, and A. H. MacDonald, Erratum: Chern Numbers for Spin Models of Transition Metal Nanomagnets [Phys. Rev. Lett. 91, 046805 (2003)], Phys. Rev. Lett. 95, 109901 (2005). |
