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
Berry connection and curvatureCondensed matter physicsPhysicsFermi surfaceQuasiparticleQuantum oscillationsFermi Gamma-ray Space TelescopeFermi liquid theoryFermi gasDiamagnetismPoint reflectionShubnikov–de Haas effectHall effectFermi energyQuantum mechanicsTopology (electrical circuits)Geometric phaseSuperconductivityMagnetic fieldElectron
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Publication Info
- Year
- 2004
- Type
- article
- Volume
- 93
- Issue
- 20
- Pages
- 206602-206602
- Citations
- 721
- Access
- Closed
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Cite This
F. D. M. Haldane
(2004).
Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property.
Physical Review Letters
, 93
(20)
, 206602-206602.
https://doi.org/10.1103/physrevlett.93.206602
Identifiers
- DOI
- 10.1103/physrevlett.93.206602