Magneto-thermal transport implies an incoherent Hall conductivity

Abstract

We consider magnetohydrodynamics with an external magnetic field. We find that in general one must allow for a non-zero incoherent Hall conductivity to correctly describe the DC longitudinal and Hall thermal conductivities beyond order zero in the magnetic field expansion. We apply our result to the dyonic black hole, determining the incoherent Hall conductivity in that case, and additionally prove that the existence of this transport coefficient leads to a significantly better match between the hydrodynamic and AC thermo-electric correlators.

arXiv comment27 pages, 5 figures; v3: introduction and conclusions clarified, version to appear in JHEP

References in corpus (30)

• Lectures on Holographic Superfluidity and Superconductivity
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Hall conductivity from dyonic black holes
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Thermoelectric DC conductivities from black hole horizons
• Generalized global symmetries and dissipative magnetohydrodynamics
• Quantum Critical Transport and the Hall Angle
• Relativistic magnetohydrodynamics
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Memory matrix theory of magnetotransport in strange metals
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Incoherent transport in clean quantum critical metals
• Magnetotransport in a model of a disordered strange metal
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• The eightfold way to dissipation
• DC Conductivity of Magnetised Holographic Matter
• Magnetohydrodynamics as superfluidity
• DC resistivity of quantum critical, charge density wave states from gauge-gravity duality
• Magnetothermoelectric Response from Holography
• Universal relaxation in a holographic metallic density wave phase
• Gapless and gapped holographic phonons
• Magneto-transport from momentum dissipating holography
• Momentum relaxation from the fluid/gravity correspondence
• Thermodynamics of polarized relativistic matter
• One-form superfluids and magnetohydrodynamics
• Diffusion and universal relaxation of holographic phonons
• Theory of the collective magnetophonon resonance and melting of the field-induced Wigner solid
• A hydrodynamical description for magneto-transport in the strange metal phase of Bi-2201
• Duality and Dimensional Reduction of 5D BF Theory
• Holography in flat spacetime: 4D theories and electromagnetic duality on the border

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• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Analytic topological hairy dyonic black holes and thermodynamics
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Hydrodynamic magneto-transport in charge density wave states
• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Non-dissipative electrically driven fluids
• Holographic phonons by gauge-axion coupling
• Collective modes of polarizable holographic media in magnetic fields
• Restoring time-reversal covariance in relaxed hydrodynamics
• Transverse Goldstone mode in holographic fluids with broken translations
• Die Hard Holographic Phenomenology of Cuprates
• Wiedemann-Franz laws and $Sl(2,\mathbb{Z})$ duality in AdS/CMT holographic duals and one-dimensional effective actions for them
• Dissipative electrically driven fluids
• Novel semi-circle law and Hall sliding in a strongly interacting electron liquid
• Hydrodynamic magneto-transport in holographic charge density wave states
• Diffusive and hydrodynamic magnetotransport around a density perturbation in a two-dimensional electron gas