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.

arXiv comment31 pages, references added

References in corpus (38)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Theory of ultracold Fermi gases
• Lectures on holographic methods for condensed matter physics
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Viscosity of Quantum Hall Fluids
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Null energy condition and superluminal propagation
• Quantum critical transport in clean graphene
• The spin quantum Hall effect in unconventional superconductors
• Constraints on Fluid Dynamics from Equilibrium Partition Functions
• Hall Viscosity and Electromagnetic Response
• Towards hydrodynamics without an entropy current
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Exact exponents for the spin quantum Hall transition
• Torsional Anomalies, Hall Viscosity, and Bulk-boundary Correspondence in Topological States
• Perfect Fluid Theory and its Extensions
• Torsional Response and Dissipationless Viscosity in Topological Insulators
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Quasiparticle transport and localization in high-T_c superconductors
• Collective cyclotron motion of the relativistic plasma in graphene
• Condensed matter and AdS/CFT
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• Non-dissipative hydrodynamics: Effective actions versus entropy current
• Hall viscosity from gauge/gravity duality
• Lorentz shear modulus of fractional quantum Hall states
• On the effective hydrodynamics of FQHE
• Holographic Fluids with Vorticity and Analogue Gravity
• Incompressible Navier-Stokes Equations from Einstein Gravity with Chern-Simons Term
• A Holographic Model For Hall Viscosity
• Spontaneous Generation of Angular Momentum in Holographic Theories
• Anti de Sitter black holes and branes in dynamical Chern-Simons gravity: perturbations, stability and the hydrodynamic modes
• Novel Parity Violating Transport Coefficients in 2+1 Dimensions from Holography

Cited by in corpus (58)

• Hydrodynamic Electron Flow and Hall Viscosity
• Chiral Topological Elasticity and Fracton Order
• Low-energy effective theory in the bulk for transport in a topological phase
• Odd viscosity in two-dimensional incompressible fluids
• Odd viscosity in active matter: microscopic origin and 3D effects
• Transport signatures of Hall viscosity
• Viscoelastic response of topological tight-binding models in two and three dimensions
• Torsion, Parity-odd Response and Anomalies in Topological States
• Active viscoelasticity of odd materials
• Odd surface waves in two-dimensional incompressible fluids
• FQHE on curved backgrounds, free fields and large N
• Chiral hydrodynamics in strong external magnetic fields
• Odd viscosity in the quantum critical region of a holographic Weyl semimetal
• Hall viscosity from elastic gauge fields in Dirac crystals
• 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
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Free surface variational principle for an incompressible fluid with odd viscosity
• Hydrodynamics of two-dimensional compressible fluid with broken parity: variational principle and free surface dynamics in the absence of dissipation
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Boundary central charge from bulk odd viscosity - chiral superfluids
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Anomalous Hall viscosity at the Weyl semimetal/insulator transition
• Hall viscosity for optical phonons
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Berry curvature and Hall viscosities in an anisotropic Dirac semi-metal
• Strongly coupled electron fluids in the Poiseuille regime
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Geometry defects in Bosonic symmetry protected topological phases
• 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
• Functional dependence of the Hall viscosity-induced transverse voltage in two-dimensional Fermi liquids
• Non-linear shallow water dynamics with odd viscosity
• Landau levels in curved space realized in strained graphene
• Charge Conservation Beyond Uniformity: Spatially Inhomogeneous Electromagnetic Response in Periodic Solids
• Hall viscosity and conductivity of two-dimensional chiral superconductors
• Resolving Hall and dissipative viscosity ambiguities via boundary effects
• Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium
• Low-energy effective field theory of superfluid 3He-B and its gyromagnetic and Hall responses
• Hall viscosity in the A-phase of superfluid ${}^3$He
• Hall viscosity and nonlocal conductivity of "gapped graphene"
• Hele-Shaw flow for parity odd three-dimensional fluids
• Chiral current induced by torsional Weyl anomaly
• Corner Charge Fluctuations and Many-Body Quantum Geometry
• Hall viscosity and hydrodynamic inverse Nernst effect in graphene
• Geometry and large N limits in Laughlin states
• Quantum Hall effective action for anisotropic Dirac semi-metal
• Relativistic hydrodynamics with the parity anomaly
• Transport in Superfluid Mixtures
• Effective electromagnetic Lagrangians in the derivative expansion method
• Geometric and computational aspects of chiral topological quantum matter
• Universal nonlinear responses of quantum Hall systems with Galilean invariance
• Holographic Topological Semimetals
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations