Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder

Abstract

We compute the direct current resistivity of a scale-invariant, $d$-dimensional strange metal with dynamic critical exponent $z$ and hyperscaling-violating exponent $\theta$, weakly perturbed by a scalar operator coupled to random-field disorder that locally breaks a ${\mathbb{Z}}_2$ symmetry. Independent calculations via Einstein-Maxwell-Dilaton holography and memory matrix methods lead to the same results. We show that random field disorder has a strong effect on resistivity: charge carriers in the infrared are easily depleted, as the relaxation time for momentum is surprisingly small. In the course of our holographic calculation we use a non-trivial dilaton coupling to the disordered scalar, allowing us to study a strongly-coupled scale invariant theory with $\theta \ne 0$. Using holography, we are also able to determine the disorder strength at which perturbation theory breaks down. Curiously, for locally critical theories this breakdown occurs when the resistivity is proportional to the entropy density, up to a possible logarithmic correction.

20 pages. v2: minor changes, more references. v3: published version

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Cited by in corpus (60)

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• Momentum dissipation and effective theories of coherent and incoherent transport
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Holographic Metals and Insulators with Helical Symmetry
• Memory matrix theory of magnetotransport in strange metals
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• Dissecting holographic conductivities
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Absence of disorder-driven metal-insulator transitions in simple holographic models
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Conductivity of a strange metal: from holography to memory functions
• Disordered horizons: Holography of randomly disordered fixed points
• Hydrodynamic transport in strongly coupled disordered quantum field theories
• Hawking-Page transition in holographic massive gravity
• Electromagnetic properties of viscous charged fluids
• Shear viscosity in holography and effective theory of transport without translational symmetry
• DC and Hall conductivity in holographic massive Einstein-Maxwell-Dilaton gravity
• Hyperscaling violation at the Ising-nematic quantum critical point in two dimensional metals
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Inhomogeneity simplified
• Incoherent thermal transport from dirty black holes
• Holographic superconductors from the massive gravity
• Hyperscaling at the spin density wave quantum critical point in two dimensional metals
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity
• Drag phenomena from holographic massive gravity
• Homes' law in holographic superconductor with linear-$T$ resistivity
• Hyperscaling Violating Solutions in Generalised EMD Theory
• Kasner interiors from analytic hairy black holes
• Perturbatively charged holographic disorder
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Robust quantum transport at particle-hole symmetry
• Transport coefficients from hyperscaling violating black brane: shear viscosity and conductivity
• Taking a critical look at holographic critical matter
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Complexity growth in Gubser-Rocha models with momentum relaxation
• Revisiting holographic superconductors with hyperscaling violation
• Disordered quantum critical fixed points from holography
• Holographic Approach to Entanglement Entropy in Disordered Systems
• Equilibration and Approximate Conservation Laws: Dipole Oscillations and Perfect Drag of Ultracold Atoms in a Harmonic Trap
• Shear hydrodynamics, momentum relaxation, and the KSS bound
• Random Fractal Ansatz for the configurations of Two-Dimensional Critical Systems
• Breakdown of emergent Lifshitz symmetry in holographic matter with Harris-marginal disorder
• Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Scalar Boundary Conditions in Hyperscaling Violating Geometry
• Holography of electrically and magnetically charged black branes
• Holographic Dissipative Properties of Non-relativistic Black Branes with Hyperscaling Violation
• Beyond Drude transport in hydrodynamic metals
• Quantum many-body physics from a gravitational lens
• Noisy Branes
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling
• Non-local Probes in Holographic Theories with Momentum Relaxation
• Seeing bulk perturbations in Lifshitz holography
• Higher-curvature Corrections to Holographic Entanglement with Momentum Dissipation
• Disorder in AdS${}_3$/CFT${}_2$