Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids

TL;DR

This paper explores how Berry curvature in three-dimensional Fermi liquids leads to triangle anomalies and the chiral magnetic effect, requiring modifications to Landau's Fermi liquid theory to incorporate these topological effects.

Contribution

It demonstrates that Berry curvature flux causes triangle anomalies and the chiral magnetic effect in Fermi liquids, extending Landau's theory to include topological properties.

Findings

Berry curvature flux induces triangle anomalies in Fermi liquids

Chiral magnetic effect emerges from Berry curvature flux

Landau's Fermi liquid theory is modified to incorporate Berry curvature

Abstract

In a three-dimensional Fermi liquid, quasiparticles near the Fermi surface may possess a Berry curvature. We show that if the Berry curvature has a nonvanishing flux through the Fermi surface, the particle number associated with this Fermi surface has a triangle anomaly in external electromagnetic fields. We show how Landau's Fermi liquid theory should be modified to take into account the Berry curvature. We show that the "chiral magnetic effect" also emerges from the Berry curvature flux.