Hall and spin Hall viscosity ratio in 2d topological insulators
arXiv:1004.2688 · doi:10.7566/JPSJ.90.064705
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.
1+15 pages, 1 figure; references added, typos corrected; published version
References in corpus (20)
- The electronic properties of graphene
- Topological Insulators
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Dissipationless Quantum Spin Current at Room Temperature
- Unconventional Integer Quantum Hall effect in graphene
- Mott physics and band topology in materials with strong spin-orbit interaction
- Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
- Hydrodynamics with Triangle Anomalies
- Quantum spin Hall effect in a transition metal oxide Na2IrO3
- Torsional Response and Dissipationless Viscosity in Topological Insulators
- Cross-Correlated Responses of Topological Superconductors and Superfluids
- Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
- Hall viscosity from gauge/gravity duality
- Transport coefficients, membrane couplings and universality at extremality
- "Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids
- Hall viscosity from effective field theory
- Viscoelastic-electromagnetism and Hall viscosity
- The Chiral Heat Effect
- Viscosity to entropy ratio at extremality
Cited by in corpus (6)
- Torsional Anomalies, Hall Viscosity, and Bulk-boundary Correspondence in Topological States
- Chiral Magnetic Effect in Hydrodynamic Approximation
- Viscoelastic-electromagnetism and Hall viscosity
- The Chiral Heat Effect
- Hall viscosity in the A-phase of superfluid He
- Phonon-mediated spin transport in quantum paraelectric metals