Shear Viscosity in a Non-Fermi Liquid Phase of a Quadratic Semimetal

Abstract

We study finite temperature transport in the Luttinger-Abrikosov-Beneslavskii phase -- an interacting, scale invariant, non-Fermi liquid phase found in quadratic semimetals. We develop a kinetic equation formalism to describe the d.c. transport properties, which are dominated by collisions, and compute the shear viscosity $\eta$. The ratio of shear viscosity to entropy density $\eta /s$ is a measure of the strength of interaction between the excitations of a quantum fluid. As a consequence of the quantum critical nature of the system, $\eta /s$ is a universal number and we find it to be consistent with a bound proposed from gauge-gravity duality.

5+5 pages, 2 figures; Published Version

References in corpus (18)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Topological Crystalline Insulators
• Correlated quantum phenomena in the strong spin-orbit regime
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Viscosity, Black Holes, and Quantum Field Theory
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Viscosity and scale invariance in the unitary Fermi gas
• Topological Mott insulator in three-dimensional systems with quadratic band touching
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• Nematic quantum criticality in three-dimensional Fermi system with quadratic band touching
• Dynamics and Conductivity Near Quantum Criticality

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• Quantum Boltzmann equation for bilayer graphene
• Hydrodynamic transport in the Luttinger-Abrikosov-Beneslavskii non-Fermi liquid
• Transport properties of multilayer graphene
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder