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Phys. Rev. Lett. 93, 206602 (2004) [4 pages]

Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property

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F. D. M. Haldane
Department of Physics, Princeton University, Princeton New Jersey 08544-0708, USA

Received 28 June 2004; revised 20 October 2004; published 11 November 2004

The intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a bulk Fermi sea property like Landau diamagnetism, as has been previously supposed. Berry phases are a new topological ingredient that must be added to Landau Fermi-liquid theory in the presence of broken inversion or time-reversal symmetry.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.206602
DOI:
10.1103/PhysRevLett.93.206602
PACS:
72.15.–v, 73.43.–f