Hall and spin Hall viscosity ratio in topological insulators

Details Hall and spin Hall viscosity ratio in topological insulators Hall and spin Hall viscosity ratio in topological insulators

2010-04-15

arxiv.org/abs/1004.2688v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 1 figure

Scientific paper

We study responses to metric perturbation in topological insulator models. In this paper we introduce a novel quantity, Hall viscosity to particle density ratio, which is analogous to the viscosity to entropy ratio suggested by AdS/CFT correspondence. This quantity corresponds to the filling fraction which characterizes the quantum Hall states, and hence it could be discussed in Haldane's zero-field quantum Hall system. We also consider dissipationless viscosity in the time reversal invariant quantum spin Hall system, which is related to a spin current.

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