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arXiv · 1004.2688

Hall and spin Hall viscosity ratio in 2d topological insulators

Taro Kimura
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Abstract

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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Taro Kimura. 2010-04-15. Hall and spin Hall viscosity ratio in 2d topological insulators. https://doi.org/10.7566/jpsj.90.064705

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