Linear and quadratic in temperature resistivity from holography

Abstract

We present a new black hole solution in the asymptotic Lifshitz spacetime with a hyperscaling violating factor. A novel computational method is introduced to compute the DC thermoelectric conductivities analytically. We find that both the linear-T and quadratic-T contributions to the resistivity can be realized, indicating that a more detailed comparison with experimental phenomenology can be performed in this scenario.

1+26 pages, 2 figures, major revision; perturbation of the auxiliary field considered; a new method was developed to compute the dc conductivities; published in JHEP

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Cited by in corpus (25)

• Hyperscaling violating black holes with spherical and hyperbolic horizons
• DC Conductivities from Non-Relativistic Scaling Geometries with Momentum Dissipation
• DC Conductivities with Momentum Dissipation in Horndeski Theories
• Holographic Heat Current as Noether Current
• Pole-skipping and hydrodynamic analysis in Lifshitz, AdS${}_2$ and Rindler geometries
• Linear-$T$ resistivity at high temperature
• Collective diffusion and quantum chaos in holography
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Holographic RG flow of thermo-electric transports with momentum dissipation
• The Lifshitz black branes and DC transport coefficients in massive Einstein-Maxwell-dilaton gravity
• Linear-$T$ resistivity from low to high temperature: axion-dilaton theories
• DC conductivity with external magnetic field in hyperscaling violating geometry
• The emergence of Strange metal and Topological Liquid near Quantum Critical Point in a solvable model
• Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories
• Wilsonian RG-flow approach to holographic transport with momentum dissipation
• Die Hard Holographic Phenomenology of Cuprates
• Stationary equilibrium of test particles near charged black branes with the hyperscaling violating factor
• Linear-T Resistivity from Spatially Random Vector Coupling
• Deep learning-based holography for T-linear resistivity
• Hyperscaling violating geometry with magnetic field and DC conductivity
• Temperature Dependence of In-plane Resistivity and Inverse Hall Angle in NLED Holographic Model
• Hall Angle of a Spatially Random Vector Model
• Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
• A renormalisation group equation for transport co-efficients in (2+1)-dimensions derived from the AdS/CMT correspondence
• Metallic transports from Taub-NUT AdS black holes