Quantum Critical Transport and the Hall Angle

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.

v1: 16 pages, 2 figures, v2: references and a minor clarification added, v3: 5 pages double column format, significant improvements in presentation and discussion of results