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Article Dans Une Revue Journal of the Physical Society of Japan Année : 2021

Hall and Spin Hall Viscosity in 2d Topological Systems

Résumé

We study linear responses to metric perturbation in two-dimensional topological systems based on the Dirac fermion formalism. 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 a spin analog of the Hall viscosity.
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Dates et versions

hal-03235752 , version 1 (19-01-2024)

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Taro Kimura. Hall and Spin Hall Viscosity in 2d Topological Systems. Journal of the Physical Society of Japan, 2021, 90 (6), pp.064705. ⟨10.7566/JPSJ.90.064705⟩. ⟨hal-03235752⟩
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