Conductivity of a strange metal: from holography to memory functions

Abstract

We study the electrical response of a wide class of strange metal phases without quasiparticles at finite temperature and charge density, with explicitly broken translational symmetry, using holography. The low frequency electrical conductivity exhibits a Drude peak, so long as momentum relaxation is slow. The relaxation time and the direct current conductivity are exactly equal to what is computed, independently of holography, via the memory function framework.

14 pages. v2: very minor changes. v3: references updated. published version

References in corpus (18)

• Nonlinear Fluid Dynamics from Gravity
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Theory of universal incoherent metallic transport
• Holography without translational symmetry
• Momentum dissipation and effective theories of coherent and incoherent transport
• Thermoelectric DC conductivities from black hole horizons
• Impure AdS/CFT
• The thermoelectric properties of inhomogeneous holographic lattices
• 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
• Coherent/incoherent metal transition in a holographic model
• Scaling theory of the cuprate strange metals
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Metal-insulator transition in holography
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Lower bounds for the conductivities of correlated quantum systems
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes

Cited by in corpus (18)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Memory matrix theory of magnetotransport in strange metals
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Charge diffusion and the butterfly effect in striped holographic matter
• Origin of the Drude peak and of zero sound in probe brane holography
• Hydrodynamic diffusion and its breakdown near AdS${}_2$ quantum critical points
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• Constraints on hydrodynamics from many-body quantum chaos
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Power Law of Shear Viscosity in Einstein-Maxwell-Dilaton-Axion model
• Non-vanishing normal density in cold holographic superfluids
• Holographic subdiffusion
• Disordered quantum critical fixed points from holography
• Fingerprints of quantum criticality in locally resolved transport
• Transverse Goldstone mode in holographic fluids with broken translations
• Phases of holographic d-wave superconductor