期刊
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
卷 90, 期 6, 页码 -出版社
PHYSICAL SOC JAPAN
DOI: 10.7566/JPSJ.90.064705
关键词
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资金
- Investissements d'Avenir program, Project ISITE-BFC [ANR-15-IDEX-0003]
- EIPHI Graduate School [ANR-17-EURE-0002]
- Bourgogne-Franche-Comte Region
In this study, linear responses to metric perturbation in two-dimensional topological systems are investigated using the Dirac fermion formalism. A new quantity, the ratio of Hall viscosity to particle density, is introduced, similar to the viscosity to entropy ratio in the AdS/CFT correspondence. This quantity corresponds to the filling fraction in quantum Hall states, and is applicable to discussions in Haldane's zero-field quantum Hall system. Additionally, dissipationless viscosity in the time reversal invariant quantum spin Hall system is also considered, serving as a spin analog of the Hall viscosity.
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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