Viscosity of Quantum Hall Fluids

Abstract

The viscosity of quantum fluids with an energy gap at zero temperature is non-dissipative and is related to the adiabatic curvature on the space of flat background metrics (which plays the role of the parameter space). For a quantum Hall fluid on two dimensional tori this viscosity is computed. In this case the average viscosity is quantized and is proportional to the total magnetic flux through the torus.

LaTex source file, with a short postscript file at end

References in corpus (1)

• From Feynman's Wave Function to the Effective Theory of Vortex Dynamics

Cited by in corpus (295)

• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Novel effects of strains in graphene and other two dimensional materials
• Odd elasticity
• Odd viscosity in chiral active fluids
• Hall Viscosity and Electromagnetic Response
• Measuring Hall Viscosity of Graphene's Electron Fluid
• 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
• Quantum Hall Physics - hierarchies and CFT techniques
• Odd Viscosity and Odd Elasticity
• Elastic Gauge Fields in Weyl Semimetals
• Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
• Topological waves in fluids with odd viscosity
• Hydrodynamic Electron Flow and Hall Viscosity
• Torsional Anomalies, Hall Viscosity, and Bulk-boundary Correspondence in Topological States
• Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect
• Fractional Quantum Hall Effect in a Curved Space: Gravitational Anomaly and Electromagnetic Response
• Torsional Response and Dissipationless Viscosity in Topological Insulators
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Low-energy effective theory in the bulk for transport in a topological phase
• Odd viscosity in two-dimensional incompressible fluids
• Newton-Cartan Geometry and the Quantum Hall Effect
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Odd viscosity in active matter: microscopic origin and 3D effects
• A theory of first order dissipative superfluid dynamics
• Fibonacci anyons and charge density order in the 12/5 and 13/5 plateaus
• Fractional charge and fractional statistics in the quantum Hall effects
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Bimetric Theory of Fractional Quantum Hall States
• Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid
• Field theory of the quantum Hall nematic transition
• Viscous transport and Hall viscosity in a two-dimensional electron system
• Transport signatures of Hall viscosity
• Topological central charge from Berry curvature: gravitational anomalies in trial wavefunctions for topological phases
• Odd Diffusivity of Chiral Random Motion
• Swimming at Low Reynolds Number in Fluids with Odd (Hall) Viscosity
• Viscoelastic response of topological tight-binding models in two and three dimensions
• Boundary effective action for quantum Hall states
• Geometry of Fractional Quantum Hall Fluids
• Torsion, Parity-odd Response and Anomalies in Topological States
• Geometry of Quantum Hall States: Gravitational Anomaly and Kinetic Coefficients
• Dissipation in the effective field theory for hydrodynamics: First order effects
• Hall viscosity, topological states and effective theories
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• Quantum Metric and Correlated States in Two-dimensional Systems
• Theory of Nematic Fractional Quantum Hall State
• Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
• Geometric adiabatic transport in quantum Hall states
• Noncommutative geometry for three-dimensional topological insulators
• Spectral Sum Rules and Magneto-Roton as Emergent Graviton in Fractional Quantum Hall Effect
• Emergent spacetime and gravitational Nieh-Yan anomaly in chiral $p+ip$ Weyl superfluids and superconductors
• Aspects of hot Galilean field theory
• Effective theory of chiral two-dimensional superfluids
• Response Properties of Axion Insulators and Weyl Semimetals Driven by Screw Dislocations and Dynamical Axion Strings
• Active viscoelasticity of odd materials
• Dissipationless Phonon Hall Viscosity
• Quantum response of dephasing open systems
• Hall viscosity from gauge/gravity duality
• Quantum Hall effect and Quillen metric
• Odd surface waves in two-dimensional incompressible fluids
• Phonon dynamics in the Kitaev spin liquid
• Lorentz shear modulus of fractional quantum Hall states
• FQHE on curved backgrounds, free fields and large N
• Unified description of the classical Hall viscosity
• Emergent Conformal Symmetry of Quantum Hall States on Singular surfaces
• Pattern formation by turbulent cascades
• Hall viscosity in quantum systems with discrete symmetry: point group and lattice anisotropy
• Chiral hydrodynamics in strong external magnetic fields
• Measuring Electromagnetic and Gravitational Responses of Photonic Landau Levels
• Curving the space by non-Hermiticity
• Investigating anisotropic quantum Hall states with bi-metric geometry
• Guiding-center Hall viscosity and intrinsic dipole moment along edges of incompressible fractional quantum Hall fluids
• Odd viscosity in the quantum critical region of a holographic Weyl semimetal
• Crystalline gauge fields and quantized discrete geometric response for Abelian topological phases with lattice symmetry
• Adiabatic geometric phases and response functions
• Hall viscosity from elastic gauge fields in Dirac crystals
• Non-Linear hydrodynamics and Fractionally Quantized Solitons at Fractional Quantum Hall Edge
• Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
• Hydrodynamics of Euler incompressible fluid and the Fractional Quantum Hall Effect
• Time reversal symmetry breaking in two-dimensional non-equilibrium viscous fluids
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Hall Viscosity of Hierarchical Quantum Hall States
• Hall viscosity and electromagnetic response of electrons in graphene
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Fracton hydrodynamics without time-reversal symmetry
• Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation
• Probing the geometry of the Laughlin state
• Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions
• Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
• On the effective hydrodynamics of FQHE
• Fractional disclination charge and discrete shift in the Hofstadter butterfly
• Hall and dissipative viscosity effects on edge magnetoplasmons
• Active Rheology in Odd Viscosity Systems
• Passive odd viscoelasticity
• Quantum Field Theory Anomalies in Condensed Matter Physics
• Dynamic paramagnon-polarons in altermagnets
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Holographic Fluids with Vorticity and Analogue Gravity
• Chiral stresses in nematic cell monolayers
• Effective Field Theory of Relativistic Quantum Hall Systems
• Lift force in odd compressible fluids
• Particle-Hole Duality in the Lowest Landau Level
• Hall viscosity from effective field theory
• Edge wave and boundary layer of vortex matter
• Incompressible Navier-Stokes Equations from Einstein Gravity with Chern-Simons Term
• Bulk angular momentum and Hall viscosity in chiral superconductors
• Geometric Defects in Quantum Hall States
• Effective field theory of a vortex lattice in a bosonic superfluid
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Spontaneous Generation of Angular Momentum in Holographic Theories
• Axial Casimir Force
• Fractional quantum Hall effect with unconventional pairing in monolayer graphene
• Field Theory of Nematicity in the Spontaneous Quantum Anomalous Hall effect
• Free surface variational principle for an incompressible fluid with odd viscosity
• Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
• Multipole Expansion in the Quantum Hall Effect
• The Geometry of Quantum Hall Effect: An Effective Action for all Dimensions
• The Euler current and relativistic parity odd transport
• Viscoelastic-electromagnetism and Hall viscosity
• Fractional Chern insulators with a non-Landau level continuum limit
• Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag
• Composite-fermion pairing at half and quarter filled lowest Landau level
• Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum
• Hydrodynamics of two-dimensional compressible fluid with broken parity: variational principle and free surface dynamics in the absence of dissipation
• Spinor Condensates on a Cylindrical Surface in Synthetic Gauge Fields
• Microscopic Model for Fractional Quantum Hall Nematics
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• More On Nonrelativistic Diffeomorphism Invariance
• Nonequilibrium Transport Induced by Biological Nanomachines
• Temperature evolution of the phonon dynamics in the Kitaev spin liquid
• Phonon Hall viscosity from phonon-spinon interactions
• Geometrodynamics of electrons in a crystal under position and time dependent deformation
• Anomalous Hydrodynamics of Fractional Quantum Hall States
• Bosonic superfluid on lowest Landau level
• Dense Chern-Simons Matter with Fermions at Large N
• Composite Fermion states on the torus
• Topical Review on Skyrmions and Hall Transport
• Optical $N$-invariant of graphene's viscous Hall fluid
• Novel Parity Violating Transport Coefficients in 2+1 Dimensions from Holography
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Effective field theory for fluids: Hall viscosity from a Wess-Zumino-Witten term
• Boundary central charge from bulk odd viscosity - chiral superfluids
• Entanglement Entropy & Anomaly Inflow
• Hall Viscosity and the Acoustic Faraday Effect
• Anomalous Hall viscosity at the Weyl semimetal/insulator transition
• Moiré phonons and impact of electronic symmetry breaking in twisted trilayer graphene
• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Viscoelastic response of quantum Hall fluids in a tilted field
• Berry curvature and Hall viscosities in an anisotropic Dirac semi-metal
• Fractional Chern Insulators in Singular Geometries
• Lowest Landau level on a cone and zeta determinants
• Filling up complex spectral regions through non-Hermitian disordered chains
• Comments on Hall transport from effective actions
• Lift force due to odd (Hall) viscosity
• Condensation of Lattice Defects and Melting Transitions in Quantum Hall phases
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Effective Abelian theory from a non-Abelian topological order in $\nu =2/5$ fractional quantum Hall effect
• Bardeen-Cooper-Schrieffer pairing of composite fermions
• Geometric quench in the fractional quantum Hall effect: exact solution in quantum Hall matrix models and comparison with bimetric theory
• Geometric Model of Topological Insulators from the Maxwell Algebra
• Ward Identities for Hall Transport
• Geometric description of the Kitaev honeycomb lattice model
• Ergodic Edge Modes in the 4D Quantum Hall Effect
• Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
• Cubic Hall viscosity in three-dimensional topological semimetals
• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
• Hall viscosity and geometric response in the Chern-Simons matrix model of the Laughlin states
• Skyrmions and Hall Transport
• Parity violating quantum kinetic theory in (2+1)-dimensions
• Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
• Geometric responses of the Pfaffian state
• Magnetodrag in hydrodynamic regime: effects of magnetoplasmon resonance and Hall viscosity
• Functional dependence of the Hall viscosity-induced transverse voltage in two-dimensional Fermi liquids
• Effective description of Chern insulators
• Piezoelectricity: Quantized Charge Transport Driven by Adiabatic Deformations
• Non-linear shallow water dynamics with odd viscosity
• Hall Viscosity of Composite Fermions
• Fractional quantum Hall states of bosons on cones
• Chirotactic response of microswimmers in fluids with odd viscosity
• Covariant effective action for a Galilean invariant quantum Hall system
• Signatures of Supersymmetry in the $\nu =5/2$ Fractional Quantum Hall Effect
• Hall Viscosity and Momentum Transport in Lattice and Continuum Models of the Integer Quantum Hall Effect in Strong Magnetic Fields
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• The free surface of a colloidal chiral fluid: waves and instabilities from odd stress and Hall viscosity
• On the motion of gravity-capillary waves with odd viscosity
• Topological Terms and Diffeomorphism Anomalies in Fluid Dynamics and Sigma Models
• Bulk-Boundary Correspondence in the Quantum Hall Effect
• Resolving Hall and dissipative viscosity ambiguities via boundary effects
• Hydrodynamics of Quantum Vortices on a Closed Surface
• Berry Phases in the Reconstructed KdV Equation
• Hall Viscosity and Angular Momentum in Gapless Holographic Models
• Prediction of non-Abelian fractional quantum Hall effect at $\nu =2+\frac{4}{11}$
• Hall viscosity and conductivity of two-dimensional chiral superconductors
• Low-energy effective field theory of superfluid 3He-B and its gyromagnetic and Hall responses
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Laughlin states on higher genus Riemann surfaces
• Hall viscosity in the A-phase of superfluid ${}^3$He
• Incompressible active phases at an interface. I. Formulation and axisymmetric odd flows
• Microscopic Diagnosis of Universal Geometric Responses in Fractional Quantum Hall Liquids
• The role of the spin connection in quantum Hall effect: A perspective from geometric quantization
• Hall Viscosity in the Non-Abelian Quantum Hall Matrix Model
• Extended Nappi-Witten Geometry for the Fractional Quantum Hall Effect
• Holographic parity violating charged fluid dual to Chern-Simons modified gravity
• Hall viscosity and nonlocal conductivity of "gapped graphene"
• Composite anyons on a torus
• Shear and bulk acceleration viscosities in simple fluids
• Hele-Shaw flow for parity odd three-dimensional fluids
• Hall Viscosity of the Composite-Fermion Fermi Seas for Fermions and Bosons
• Observable signatures of Hall viscosity in lowest Landau level superfluids
• Success and failure of the plasma analogy for Laughlin states on a torus
• Residual bulk viscosity of a disordered 2D electron gas
• Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality
• Boson-fermion duality in a gravitational background
• Heat equation approach to geometric changes of the torus Laughlin-state
• Elastic gauge fields and zero-field 3D quantum Hall effect in hyperhoneycomb lattices
• Hall Viscosity in a Strongly Coupled Magnetized Plasma
• Dissipation in finite Fermi systems
• Slip-induced odd viscous flow past a cylinder
• Gravitational Response of Topological Quantum States of Matter
• Complete absorption of topologically protected waves
• Hall Viscosity Revealed via Density Response
• Shear Bernstein modes in a two-dimensional electron liquid
• Finite-wavevector Electromagnetic Response in Lattice Quantum Hall Systems
• Gauge theory of giant phonon magnetic moment in doped Dirac semimetals
• Taylor columns and inertial-like waves in a three-dimensional odd viscous liquid
• Central charge from adiabatic transport of cusp singularities in the quantum Hall effect
• Viscosity of holographic fluid in the presence of dark matter sector
• Angular Momentum Generation by Parity Violation
• A numerical study of bounds in the correlations of fractional quantum Hall states
• The Monte Carlo simulation of the topological quantities in FQH systems
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Hall and spin Hall viscosity ratio in 2d topological insulators
• Hall viscosity and hydrodynamic inverse Nernst effect in graphene
• Emergent curved space and gravitational lensing in quantum materials
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Geometry and large N limits in Laughlin states
• Comment on "Galilean invariance at quantum Hall edge"
• Angular Momentum Generation from Holographic Chern-Simons Models
• Relativistic Guiding-Center Motion: Action Principle, Kinetic Theory, and Hydrodynamics
• Geometric test for topological states of matter
• Nonlinear shallow-water waves with vertical odd viscosity
• Phonon helicity and Nieh-Yan Anomaly in the Kramers-Weyl semimetals of Chiral Crystals
• Quantum Hall effective action for anisotropic Dirac semi-metal
• Modeling Hall viscosity in magnetic-skyrmion systems
• Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity
• Quantized crystalline-electromagnetic responses in insulators
• Mesoscale simulation model for odd fluids
• Geometric response of quantum Hall states to electric fields
• Matter-gravity coupling for fuzzy geometry and the Landau-Hall problem
• Anomalous Electronic Transport in High Mobility Corbino Rings
• Reversal of tracer advection and Hall drift in an interacting chiral fluid
• Hall Coulomb drag induced by electron-electron skew scattering
• Hydrodynamic transport and violation of the viscosity-to-entropy ratio bound in nodal-line semimetals
• Effective electromagnetic Lagrangians in the derivative expansion method
• Generalizing Thiele Equation
• Laminar flow of charged quantum fluids of the Calogero-Sutherland universality class
• Geometric and computational aspects of chiral topological quantum matter
• Charge and spin textures of Ising quantum Hall ferromagnet domain walls
• Universal nonlinear responses of quantum Hall systems with Galilean invariance
• Chiral Metric Hydrodynamics, Kelvin Circulation Theorem, and the Fractional Quantum Hall Effect
• Anisotropic odd viscosity via time-modulated drive
• Skyrmions and Hall viscosity
• Evanescent and inertial-like waves in rigidly-rotating odd viscous liquids
• Adiabatic Deformations of Quantum Hall Droplets
• Towards the Hall viscosity of the Fermi-liquid-like phase at the filling factor of 1/2
• Geometry induced quantum Hall effect and Hall viscosity
• Extrinsic contribution to bosonic thermal Hall transport
• Liouville perturbation theory for Laughlin state and Coulomb gas
• Quantum kinetic theory of flux-carrying Brownian particles
• Geometric Zabrodin-Wiegmann conjecture for integer Quantum Hall states
• Nonclassical heat flow in passive chiral solids is third rank, not odd
• Viscoelastic response and anisotropic hydrodynamics in Weyl semimetals
• Refermionized theory of the edge modes of a fractional quantum Hall cloud
• Hydrodynamic Coulomb drag in odd electron liquids
• Berry Phases in the Bosonization of Nonlinear Edge Modes
• Relativistic Gravity and Parity-Violating Non-Relativistic Effective Field Theories
• Fractional quantum Hall interface induced by geometric singularity
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations
• Hamiltonian structure of 2D fluid dynamics with broken parity
• Nonlinear hydrodynamic response of a quantum Hall system
• Stokes flow in an electronic fluid with odd viscosity
• Phonon-mediated spin transport in quantum paraelectric metals
• Topological Flux on a Context Manifold Generates Nonreciprocal Collective Dynamics
• Optimal power and efficiency of odd engines
• Anisotropy of the hydrostatic stress for Hall droplets with in-plane magnetic field
• Hydrodynamic correlation functions of chiral active fluids
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Holographic Topological Semimetals
• Nonlinear Odd Viscoelastic Effect
• Coherent State Wave Functions on the Torus
• Hearing the shape of a Dirac drum: Dual quantum Hall states on curved surfaces