Hall Viscosity and Angular Momentum in Gapless Holographic Models

Abstract

We use the holographic approach to compare the Hall viscosity ${\eta }_H$ and the angular momentum density $\mathcal{J}$ in gapless systems in $2+1$ dimensions at finite temperature. We start with a conformal fixed point and turn on a perturbation which breaks the parity and time reversal symmetries via gauge and gravitational Chern-Simons couplings in the bulk. While the ratio of ${\eta }_H$ and $\mathcal{J}$ shows some universal properties when the perturbation is slightly relevant, we find that the two quantities behave differently in general. In particular, ${\eta }_H$ depends only on infrared physics, while $\mathcal{J}$ receives contributions from degrees of freedom at all scales.

13 pages, 13 figures

References in corpus (3)

• Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
• Holographic End-Point of Spatially Modulated Phase Transition
• From Fake Supergravity to Superstars

Cited by in corpus (4)

• Bulk angular momentum and Hall viscosity in chiral superconductors
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• Ward Identities for Hall Transport
• Viscosities and shift in a chiral superfluid: a holographic study