On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field

Abstract

In this paper we review recent progress on relativistic hydrodynamics in (2 + 1)-dimensions with an external magnetic field. We discuss the formalism allowing for momentum loss due to the explicit and spontaneous breaking of translation invariance by scalar operators. We also compare to some results from the gauge/gravity correspondence.

arXiv comment32 pages; 2 figures; invited review for Modern Physics Letter A

References in corpus (108)

• Lectures on Holographic Superfluidity and Superconductivity
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Theory of universal incoherent metallic transport
• Lectures on hydrodynamic fluctuations in relativistic theories
• A simple holographic model of momentum relaxation
• Hydrodynamics of electrons in graphene
• Quantum critical transport, duality, and M-theory
• Hall Viscosity and Electromagnetic Response
• Hall conductivity from dyonic black holes
• Charge transport in holography with momentum dissipation
• Momentum relaxation in holographic massive gravity
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Momentum dissipation and effective theories of coherent and incoherent transport
• Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
• Holography of Dyonic Dilaton Black Branes
• Thermoelectric DC conductivities from black hole horizons
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Quantum Critical Transport and the Hall Angle
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• The thermoelectric properties of inhomogeneous holographic lattices
• Holographic Metals and Insulators with Helical Symmetry
• Memory matrix theory of magnetotransport in strange metals
• Spatially modulated instabilities of magnetic black branes
• Dissecting holographic conductivities
• Holographic Phonons
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Holographic Quantum Critical Transport without Self-Duality
• Gravity Dual of a Quantum Hall Plateau Transition
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• Incoherent transport in clean quantum critical metals
• Theory of hydrodynamic transport in fluctuating electronic charge density wave states
• Hall Conductivity of Flavor Fields from AdS/CFT
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Bad Metals from Fluctuating Density Waves
• Quantum Hall Effect in AdS/CFT
• Effective holographic theory of charge density waves
• Conductivity of a strange metal: from holography to memory functions
• Hydrodynamic transport in strongly coupled disordered quantum field theories
• Hall viscosity, topological states and effective theories
• DC Conductivity of Magnetised Holographic Matter
• Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma
• Magnetohydrodynamics as superfluidity
• DC resistivity of quantum critical, charge density wave states from gauge-gravity duality
• Striped phases from holography
• Pinning of longitudinal phonons in holographic spontaneous helices
• Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
• Magnetothermoelectric Response from Holography
• A holographic perspective on phonons and pseudo-phonons
• DC and Hall conductivity in holographic massive Einstein-Maxwell-Dilaton gravity
• Kinetic theory of transport for inhomogeneous electron fluids
• Universal relaxation in a holographic metallic density wave phase
• A Unified Description of Translational Symmetry Breaking in Holography
• Entropy Current from Partition Function: One Example
• Gapless and gapped holographic phonons
• Entropy current and equilibrium partition function in fluid dynamics
• Magneto-transport from momentum dissipating holography
• Hydrodynamic theory of quantum fluctuating superconductivity
• AC Transport at Holographic Quantum Hall Transitions
• Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
• Hydrodynamics for charge density waves and their holographic duals
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Thermodynamics of polarized relativistic matter
• One-form superfluids and magnetohydrodynamics
• Model building in AdS/CMT: DC conductivity and Hall angle
• Chasing the cuprates with dilatonic dyons
• Holographic anyonic superfluidity
• Diffusion and universal relaxation of holographic phonons
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Commensurability effects in holographic homogeneous lattices
• Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography
• Transport in Chern-Simons-Matter Theories
• Incoherent transport for phases that spontaneously break translations
• Resistivity bound for hydrodynamic bad metals
• Damping of Pseudo-Goldstone Fields
• Collective excitations of massive flavor branes
• Theory of the collective magnetophonon resonance and melting of the field-induced Wigner solid
• Holographic DC conductivity and Onsager relations
• A hydrodynamical description for magneto-transport in the strange metal phase of Bi-2201
• Coherent vs incoherent transport in holographic strange insulators
• Holographic plasma and anyonic fluids
• On the Hydrodynamic Description of Holographic Viscoelastic Models
• Hydrodynamic magneto-transport in charge density wave states
• Universal properties of cold holographic matter
• Composite Fermion Metals from Dyon Black Holes and S-Duality
• Incoherent hydrodynamics and density waves
• Magneto-thermal transport implies an incoherent Hall conductivity
• Holography in flat spacetime: 4D theories and electromagnetic duality on the border
• Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag
• On the introduction of a boundary in topological field theories
• Holographic transport and density waves
• Diffusion for Holographic Lattices
• Phase relaxation and pattern formation in holographic gapless charge density waves
• Ward Identities for Hall Transport
• Non-relativistic anyons from holography
• Magnetoresistance in relativistic hydrodynamics without anomalies
• A strongly coupled anyon material
• Holographic thermal DC response in the hydrodynamic limit
• Anisotropic Dyonic Black Brane and its Effects on Hydrodynamics
• S-duality in AdS/CFT magnetohydrodynamics
• Charge density response and fake plasmons in holographic models with strong translation symmetry breaking
• Incoherent hydrodynamics of density waves in magnetic fields
• Holographic anyonization: A systematic approach
• Striped anyonic fluids
• Hall Viscosity in a Strongly Coupled Magnetized Plasma
• Wiedemann-Franz laws and $Sl(2,\mathbb{Z})$ duality in AdS/CMT holographic duals and one-dimensional effective actions for them
• Composite-particle hydrodynamics from dyonic black branes
• Novel semi-circle law and Hall sliding in a strongly interacting electron liquid

Cited by in corpus (9)

• Holography and magnetohydrodynamics with dynamical gauge fields
• Non-dissipative electrically driven fluids
• Relaxed hydrodynamic theory of electrically driven non-equilibrium steady states
• Relaxation terms for anomalous hydrodynamic transport in Weyl semimetals from kinetic theory
• Restoring time-reversal covariance in relaxed hydrodynamics
• Thermodynamic constraints and exact scaling exponents of flocking matter
• Dissipative electrically driven fluids
• The Hamiltonian mechanics of exotic particles
• Diffusive and hydrodynamic magnetotransport around a density perturbation in a two-dimensional electron gas