Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
F. D. M. Haldane
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.
Create a lesson
Related papers
Parametric Glassiness in Graphene-based Electronic Lévy Glass
Caue N. da Silva, Diego B. Fonseca, Adauto J. F. de Souza et al.
Giant geometric nonlinear transport in inhomogeneously strained Bi2Se3 single crystalline slabs
Igor Veremchuk, Pavlo Makushko, Anita Guarino et al.
Controlling the Atomic Reconstruction in Twisted MoSe2/WSe2 with a Monolayer hBN Spacer
Johannes Figueiredo, Kaiyuan Chen, Aubrey Penn et al.
Pulse-by-pulse imaging of reversible, collective reshaping in laser-excited gold nanorods
Mees Dieperink, Loriane Monin, Ichiro Ohnishi et al.
Atomic Edge Resonators Flatten Phonon Bands in Biphenylene Nanoribbons
V. L. Katkov, N. M. Chtchelkatchev, V. A. Osipov
Theory of exciton-exciton interactions in crystalline systems
L. Maisel Licerán, H. T. C. Stoof