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

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arxiv cond-mat/0408417 v5 pith:FGHSOOLQ submitted 2004-08-19 cond-mat.mes-hall cond-mat.str-el

F. D. M. Haldane This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.str-el
keywords berryfermifermi-liquidpropertyanomalouseffecthalllandau
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dynamical analog spacetimes from nonlinear perturbations in a topological material

    gr-qc 2025-07 reject novelty 3.0 of 10

    A nonlinear acoustic metric and microkelvin Hawking temperature are claimed for Berry-curvature-modified graphene electron flow, but the derivation is incomplete and the temperature has inconsistent units.

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