Holographic model for the anomalous scalings of the cuprates

Abstract

We examine transport in a holographic model in which the dynamics of the charged degrees of freedom is described by the nonlinear Dirac-Born-Infeld (DBI) action. Axionic scalar fields are included to break translational invariance and generate momentum dissipation in the system. Scaling exponents are introduced by using geometries which are nonrelativistic and hyperscaling-violating in the infrared. In the probe DBI limit the theory reproduces the anomalous temperature dependence of the resistivity and Hall angle of the cuprate strange metals, $\rho \sim T$ and $\cot {\Theta }_H\sim T^2$. These scaling laws would not be present without the nonlinear dynamics encoded by the DBI interactions. We further show that because of its richness the DBI theory supports a wide spectrum of temperature scalings. This model provides explicit examples in which transport is controlled by different relaxation times. On the other hand, when only one quantity sets the temperature scale of the system, the Hall angle and conductivity typically exhibit the same temperature behavior. We illustrate this point using new fully backreacted analytical dyonic black brane solutions.

arXiv commentv2: 6 pages+supplemental material, matches version published in PRD Rapid Communication

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• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Deep learning bulk spacetime from boundary optical conductivity
• Linear-$T$ resistivity at high temperature
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• Kasner interiors from analytic hairy black holes
• 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
• Anomalous scalings of the cuprate strange metals from nonlinear electrodynamics
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• Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Holography of electrically and magnetically charged black branes
• Deep learning-based holography for T-linear resistivity
• Temperature Dependence of In-plane Resistivity and Inverse Hall Angle in NLED Holographic Model
• Novel semi-circle law and Hall sliding in a strongly interacting electron liquid
• Sound modes and stability of momentum dissipated black branes in holography
• Stranger than Metals