Vortical effects in chiral band structures

Abstract

The chiral vortical effect is a chiral anomaly induced transport phenomenon characterized by an axial current in a uniformly rotating chiral fluid. It is well-understood for Weyl fermions in high energy physics, but its realization in condensed matter band structures, including those of Weyl semimetals, has been controversial. In this work, we develop the Kubo response theory for electrons in a general band structure subject to space- and time-dependent rotation or vorticity relative to the background lattice. We recover the chiral vortical effect in the static limit; in the transport or uniform limit, we discover a new effect that we dub the gyrotropic vortical effect. The latter is governed by Berry curvature of the occupied bands while the former contains an additional contribution from the magnetic moment of electrons on the Fermi surface. The two vortical effects can be understood as analogs of the well-known chiral and gyrotropic magnetic effects in chiral band structures. We address recent controversies in the field and conclude by describing device geometries that exploit Ohmic or Seebeck transport to drive the vortical effects.

15 pages, 3 figures This version includes effects of discrete lattice realization, finite relaxation time. Detailed calculation using Feynman diagram have been added

References in corpus (14)

• Topological response in Weyl semimetals and the chiral anomaly
• Topological Semimetals
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral anomaly and transport in Weyl metals
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Lorentz Invariance in Chiral Kinetic Theory
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• The chiral magnetic effect in hydrodynamical approach
• Notes on chiral hydrodynamics within effective theory approach
• Chiral magnetic effect in two-band lattice model of Weyl semimetal
• Chiral vortaic effect and neutron asymmetries at NICA
• Anomalous Hydrodynamic Transport in Interacting Noncentrosymmetric Metals
• Imaging electronic states on topological semimetals using scanning tunneling microscopy
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates

Cited by in corpus (1)

• Chiral kinematic theory and converse vortical effects