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

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

2004-08-19

arxiv.org/abs/cond-mat/0408417v5

Phys. Rev. Lett. 93, 206602 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 0 figures; to appear in Physical Review Letters; cleaner form of main formula+note added confirming continued validit

Scientific paper

10.1103/PhysRevLett.93.206602

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.

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