Novel semi-circle law and Hall sliding in a strongly interacting electron liquid

TL;DR

This paper explores a holographic model of a strongly interacting fermionic fluid under magnetic fields, revealing a novel semi-circle law for conductivity and a phenomenon called Hall sliding due to stripe dynamics.

Contribution

It introduces a holographic framework to study a striped Hall fluid with spontaneous translation symmetry breaking and uncovers a new semi-circle law for conductivities.

Findings

Discovery of a semi-circle law for DC conductivities.

Identification of Hall sliding as stripes slide under parallel electric fields.

Hydrodynamical model explains magneto-transport and excitations.

Abstract

We study a strongly interacting, fermionic fluid in the presence of an applied magnetic field using a holographic framework. At low temperatures, translation symmetry is spontaneously broken and the resulting phase is a striped Hall fluid. Due to the magnetic field, an electric field applied parallel to the stripes causes the stripes to slide, a phenomenon we coin "Hall sliding." We also investigate the magneto-transport of the system in the presence of an explicit translation symmetry-breaking lattice which pins the stripes. Electrical properties are well represented by a hydrodynamical model, which gives us further insight into particle-like cyclotron and pseudo-Goldstone excitations we observe. The DC conductivities obey a novel semi-circle law, which we derive analytically in the translationally invariant ground state at low temperature.