Quantum Critical Transport and the Hall Angle
arXiv:1406.1659 · doi:10.1103/PhysRevLett.114.021601
Abstract
In this letter we study the Hall conductivity in holographic models where translational invariance is broken by a lattice. We show that generic holographic theories will display a different temperature dependence in the Hall angle as to the DC conductivity. Our results suggest a general mechanism for obtaining an anomalous scaling of the Hall angle in strongly interacting quantum critical systems.
v1: 16 pages, 2 figures, v2: references and a minor clarification added, v3: 5 pages double column format, significant improvements in presentation and discussion of results
References in corpus (11)
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Effective Holographic Theories for low-temperature condensed matter systems
- Theory of universal incoherent metallic transport
- Metallic AdS/CFT
- Hall conductivity from dyonic black holes
- Ohm's Law at strong coupling: S duality and the cyclotron resonance
- Holography of Dyonic Dilaton Black Branes
- Thermoelectric DC conductivities from black hole horizons
- Impure AdS/CFT
- Conductivities for Hyperscaling Violating Geometries
- High Temperature Superconductivity in the Cuprates
Cited by in corpus (28)
- Hydrodynamics of electrons in graphene
- Momentum dissipation and effective theories of coherent and incoherent transport
- Thermal diffusivity and chaos in metals without quasiparticles
- Holographic Metals and Insulators with Helical Symmetry
- Memory matrix theory of magnetotransport in strange metals
- Thermo-electric transport in gauge/gravity models with momentum dissipation
- Scaling theory of the cuprate strange metals
- Hawking-Page transition in holographic massive gravity
- Holography of the Dirac Fluid in Graphene with two currents
- Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
- Novel metal-insulator-transition at the SrTiO3/SmTiO3 interface
- Higgs criticality in a two-dimensional metal
- Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
- Backreacted DBI Magnetotransport with Momentum Dissipation
- Separation of transport lifetimes in SrTiO3-based two-dimensional electron liquids
- Magneto-thermal transport implies an incoherent Hall conductivity
- Holographic transport and density waves
- Small Fermi Surfaces and Strong Correlation Effects in Dirac Materials with Holography
- On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
- Thermoelectric Transport Coefficients from Charged Solv and Nil Black Holes
- Power Law of Shear Viscosity in Einstein-Maxwell-Dilaton-Axion model
- Holographic thermal DC response in the hydrodynamic limit
- Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation
- Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder
- Hyperscaling violating geometry with magnetic field and DC conductivity
- Anomalous magnetoconductivity and relaxation times in holography
- Disorder versus two transport lifetimes in a strongly correlated electron liquid
- Holographic universal relations among transport coefficients