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Phys. Rev. Lett. 91, 046805 (2003) [4 pages]

Chern Numbers for Spin Models of Transition Metal Nanomagnets

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C. M. Canali1, A. Cehovin2, and A. H. MacDonald3
1Department of Technology, Kalmar University, 391 82 Kalmar, Sweden
2Division of Solid State Theory, Department of Physics, Lund University, SE-223 62 Lund, Sweden
3Department of Physics, University of Texas at Austin, Austin, Texas 78712, USA

See 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 Also

Erratum: 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).