Chiral Vortical Effect in Fermi Liquid

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.

minor corrections, additional citations

References in corpus (7)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Gravitational Anomaly and Transport
• Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
• The chiral magnetic effect in hydrodynamical approach
• Notes on chiral hydrodynamics within effective theory approach
• Fermions with cubic and quartic spectrum

Cited by in corpus (7)

• Recent developments in transport phenomena in Weyl semimetals
• Kinetic theory with Berry curvature from quantum field theories
• Chiral Vortical Effect for Bosons
• A Semiclassical Formulation of the Chiral Magnetic Effect and Chiral Anomaly in Even d+1 Dimensions
• Microscopic Study of Vorticities in Relativistic Chiral Fermions
• Vortical effects in chiral band structures
• Chiral kinematic theory and converse vortical effects