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.

arXiv comment13 pages, 13 figures

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Cited by in corpus (7)

• Odd viscosity in the quantum critical region of a holographic Weyl semimetal
• Bulk angular momentum and Hall viscosity in chiral superconductors
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• Ward Identities for Hall Transport
• Spatially modulated instabilities of holographic gauge-gravitational anomaly
• First law of black hole mechanics in variable background fields
• Viscosities and shift in a chiral superfluid: a holographic study