Torsional response of relativistic fermions in $2+1$ dimensions

Abstract

We consider the equilibrium partition function of an ideal gas of Dirac fermions minimally coupled to torsion in $2+1$ dimensions. We show that the energy-momentum tensor reproduces the Hall viscosity and other parity violating terms of first order in the torsion. We also consider the modifications of the constitutive relations, and classify the corresponding susceptibilities. An entropy current consistent with zero production of entropy in equilibrium is constructed.

13 pages; v2: improved discussion in sections 3 and 5, references added, matches the journal version

References in corpus (6)

• Spacetime Symmetries of the Quantum Hall Effect
• Thermal Hall Effect and Geometry with Torsion
• Low-energy effective theory in the bulk for transport in a topological phase
• Aspects of hot Galilean field theory
• Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum
• Hall viscosity, spin density, and torsion

Cited by in corpus (5)

• Emergent spacetime and gravitational Nieh-Yan anomaly in chiral $p+ip$ Weyl superfluids and superconductors
• Hydrodynamics, spin currents and torsion
• Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium
• On Nieh-Yan Transport
• Quantum Hall effective action for anisotropic Dirac semi-metal