Chiral Vortical Effect in Fermi Liquid

TL;DR

This paper explores the emergence of a chiral vortical effect in non-relativistic Fermi liquids with Berry curvature, highlighting its analogy to magnetic field effects and potential for experimental testing of quantum anomalies.

Contribution

It introduces the concept of a chiral vortical effect in Fermi liquids with Berry curvature, linking quantum anomalies to condensed matter phenomena.

Findings

Chiral vortical effect appears in rotating Fermi liquids with Berry curvature.

Quantum anomalies can be tested in condensed matter systems.

Berry curvature flux influences the chiral effects in Fermi surfaces.

Abstract

In this note we consider non-relativistic rotating fermi liquid in the presence of Berry curvature. The behavior of the system is then almost the same as in external magnetic field. We argue that there appears an analogue of chiral vortical effect in the liquid if Berry curvature has a non-vanishing flux through sheets of Fermi surfaces and chemical potentials are different. We also claim that quantum anomalies in condensed matter context provide a theoretical and experimental testing ground for the origin of chiral effects, their carriers etc.