Quantum Critical Transport and the Hall Angle

TL;DR

This paper investigates the temperature dependence of the Hall angle in holographic models with broken translational symmetry, revealing a potential mechanism for anomalous scaling in strongly interacting quantum critical systems.

Contribution

It demonstrates that holographic models exhibit distinct temperature scaling in Hall angle versus DC conductivity, suggesting a new mechanism for anomalous behavior.

Findings

Hall angle shows different temperature dependence than DC conductivity

Holographic models can produce anomalous Hall angle scaling

Suggests a universal mechanism in quantum critical systems

Abstract

In this letter we study the Hall conductivity in holographic models where translational invariance is broken by a lattice. We show that generic holographic theories will display a different temperature dependence in the Hall angle as to the DC conductivity. Our results suggest a general mechanism for obtaining an anomalous scaling of the Hall angle in strongly interacting quantum critical systems.