Hall viscosity, topological states and effective theories

Abstract

Hall viscosity is a dissipationless transport coefficient whose value is quantized in units of the density in some topological phases and may be used as a measure of topological order. I give an overview of the Hall viscosity, its relation to Hall conductivity in Galilean invariant theories and its realization in effective theories.

31 pages, references added

References in corpus (7)

• Theory of ultracold Fermi gases
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Quantum critical transport in clean graphene
• Collective cyclotron motion of the relativistic plasma in graphene
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• Incompressible Navier-Stokes Equations from Einstein Gravity with Chern-Simons Term
• Anti de Sitter black holes and branes in dynamical Chern-Simons gravity: perturbations, stability and the hydrodynamic modes

Cited by in corpus (28)

• Low-energy effective theory in the bulk for transport in a topological phase
• Transport signatures of Hall viscosity
• Torsion, Parity-odd Response and Anomalies in Topological States
• FQHE on curved backgrounds, free fields and large N
• Chiral hydrodynamics in strong external magnetic fields
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Anomalous Hall viscosity at the Weyl semimetal/insulator transition
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Ward Identities for Hall Transport
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Effective action approach to the filling anomaly in crystalline topological matter
• Charge Conservation Beyond Uniformity: Spatially Inhomogeneous Electromagnetic Response in Periodic Solids
• Hall viscosity and hydrodynamic inverse Nernst effect in graphene
• Corner Charge Fluctuations and Many-Body Quantum Geometry
• Chiral current induced by torsional Weyl anomaly
• Geometry and large N limits in Laughlin states
• Quantum Hall effective action for anisotropic Dirac semi-metal
• Geometric and computational aspects of chiral topological quantum matter
• Effective electromagnetic Lagrangians in the derivative expansion method
• Universal nonlinear responses of quantum Hall systems with Galilean invariance
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations
• Holographic Topological Semimetals