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Phys Rev Lett. 2004 Nov 12;93(20):206602. Epub 2004 Nov 11.

Berry curvature on the fermi surface: anomalous Hall effect as a topological fermi-liquid property.

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Department of Physics, Princeton University, Princeton New Jersey 08544-0708, USA.


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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