Hyperscaling violating black hole solutions and Magneto-thermoelectric DC conductivities in holography

TL;DR

This paper presents new black hole solutions with hyperscaling violation in holography and explores their implications for anomalous transport phenomena observed in cuprate strange metals, including resistivity and Hall effects.

Contribution

It introduces novel black hole solutions with hyperscaling violation and analyzes their impact on magneto-thermoelectric conductivities in holographic models.

Findings

Linear temperature dependence of resistivity achieved.

Quadratic temperature dependence of inverse Hall angle observed.

Heat conductivity and Hall Lorenz ratio scale with temperature.

Abstract

We derive new black hole solutions in Einstein-Maxwell-Axion-Dilaton theory with a hyperscaling violation exponent. We then examine the corresponding anomalous transport exhibited by cuprate strange metals in the normal phase of high-temperature superconductors via gauge/gravity duality. Linear temperature dependence resistivity and quadratic temperature dependence inverse Hall angle can be achieved. In the high temperature regime, the heat conductivity and Hall Lorenz ratio are proportional to the temperature. The Nernst signal first increases as temperature goes up but it then decreases with increasing temperature in the high temperature regime.