Anomalous scalings of the cuprate strange metals from nonlinear electrodynamics

Abstract

We examine transport in a holographic model which describes, through a nonlinear gauge field sector, generic nonlinear interactions between the charge carriers. Scaling exponents are introduced by using geometries which are nonrelativistic and hyperscaling-violating in the infrared. In the dilute charge limit in which the gauge field sector does not backreact on the geometry, a particularly simple nonlinear theory reproduces the anomalous temperature dependence of the resistivity and Hall angle of the cuprate strange metals, $R\sim T$ and $\cot {\Theta }_H\sim T^2$ while also allowing for a linear entropy $S\sim T$, and predicts that the magnetoresistance for small values of the magnetic field $h$ should scale as $\sim h^2{T}^{-4}$. Our study lends evidence to the idea that the strange metal behavior of the cuprates relies crucially on the linear temperature dependence of the entropy.

arXiv commentv2: revised version, 6 pages+supplemental material, to appear as a Rapid Communication in PRD

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• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
• Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models
• Thermoelectric Transport in Holographic Quantum Matter under Shear Strain
• Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories
• Quartic Horndeski, planar black holes, holographic aspects and universal bounds
• Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
• Die Hard Holographic Phenomenology of Cuprates
• Novel semi-circle law and Hall sliding in a strongly interacting electron liquid
• Sound modes and stability of momentum dissipated black branes in holography