Hall viscosity from gauge/gravity duality

Details Hall viscosity from gauge/gravity duality Hall viscosity from gauge/gravity duality

2011-03-24

arxiv.org/abs/1103.4851v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

In (2+1)-dimensional systems with broken parity, there exists yet another transport coefficient, appearing at the same order as the shear viscosity in the hydrodynamic derivative expansion. In condensed matter physics, it is referred to as "Hall viscosity". We consider a simple holographic realization of a (2+1)-dimensional isotropic fluid with broken spatial parity. Using techniques of fluid/gravity correspondence, we uncover that the holographic fluid possesses a nonzero Hall viscosity, whose value only depends on the near-horizon region of the background. We also write down a Kubo's formula for the Hall viscosity. We confirm our results by directly computing the Hall viscosity using the formula.

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