Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
Top Cited Papers
- 11 November 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 93 (20) , 206602
- https://doi.org/10.1103/physrevlett.93.206602
Abstract
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.Keywords
All Related Versions
This publication has 15 references indexed in Scilit:
- Condensed Matter PhysicsPublished by Wiley ,2010
- Dissipationless Anomalous Hall Current in the Ferromagnetic Spinel CuCr 2 Se
4-
x
Br
x
Science, 2004
- The Anomalous Hall Effect and Magnetic Monopoles in Momentum SpaceScience, 2003
- Anomalous Hall Effect in Ferromagnetic SemiconductorsPhysical Review Letters, 2002
- Topological Nature of Anomalous Hall Effect in FerromagnetsJournal of the Physics Society Japan, 2002
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effectsPhysical Review B, 1999
- Diophantine equation for the three-dimensional quantum Hall effectPhysical Review B, 1992
- Quantal phase factors accompanying adiabatic changesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1984
- Theory of the Hall Effect in Ferromagnetic SubstancesPhysical Review B, 1958
- Hall Effect in FerromagneticsPhysical Review B, 1954