Hall Conductivity near the z=2 Superconductor-Insulator Transition in 2D

TL;DR

This paper investigates the behavior of Hall conductivity near a z=2 quantum critical point in 2D, revealing its dependence on dissipation and magnetic field, with non-monotonic features indicating complex limit interactions.

Contribution

It provides a detailed analysis of how dissipation and magnetic field influence Hall conductivity near a quantum critical point in 2D systems.

Findings

Hall conductivity depends on dissipation and magnetic field.

Conductivity exhibits a maximum at H ~ η T.

Limits H → 0 and η → 0 do not commute.

Abstract

We analyze here the behavior of the Hall conductivity $\sigma_{xy}$ near a $z=2$ insulator-superconductor quantum critical point in a perpendicular magnetic field. We show that the form of the conductivity is sensitive to the presence of dissipation $\eta$, and depends non-monotonically on $H$ once $\eta$ is weak enough. $\sigma_{xy}$ passes through a maximum at $H \sim \eta T$ in the quantum critical regime, suggesting that the limits $H \to 0$ and $\eta \to 0$ do not commute.