Holographic quantum criticality and strange metal transport

TL;DR

This paper develops a holographic model of quantum criticality with Schrödinger symmetry to study strange metal transport properties, successfully matching experimental data and predicting new scaling behaviors under magnetic fields.

Contribution

It introduces a holographic model with Schrödinger symmetry for quantum critical systems, providing insights into strange metal transport and predicting novel magnetic field scaling relations.

Findings

Resistivity and Hall angle match experimental strange metal data

Model predicts new magnetic field scaling relations

Good agreement with low-temperature transport measurements

Abstract

A holographic model of a quantum critical theory at a finite but low temperature, and finite density is studied. The model exhibits non-relativistic z=2 Schr\"odinger symmetry and is realized by the Anti-de-Sitter-Schwarzschild black hole in light-cone coordinates. Our approach addresses the electrical conductivities in the presence or absence of an applied magnetic field and contains a control parameter that can be associated to quantum tuning via charge carrier doping or an external field in correlated electron systems. The Ohmic resistivity, the inverse Hall angle, the Hall coefficient and the magnetoresistance are shown to be in good agreement with experimental results of strange metals at very low temperature. The holographic model also predicts new scaling relations in the presence of a magnetic field.