Vanishing Hall Conductance in the Phase Glass Bose Metal at Zero Temperature

TL;DR

This paper investigates the vanishing Hall conductance in the phase glass Bose metal at zero temperature, showing that particle-hole symmetry leads to zero Hall conductance, a result that persists beyond Gaussian approximation and can be tested experimentally.

Contribution

It demonstrates that particle-hole symmetry in phase glass models causes zero Hall conductance, and breaking this symmetry induces a finite Hall conductance with a specific power law.

Findings

Hall conductance is zero due to particle-hole symmetry.

Breaking particle-hole symmetry induces a finite Hall conductance.

The results are consistent with recent experimental observations.

Abstract

Motivated in part by the numerical simulations [ky,kosterlitz1,kosterlitz2] which reveal that the energy to create a defect in a gauge or phase glass scales as $L^{\theta}$ with $\theta<0$ for 2D, thereby implying a vanishing stiffness, we re-examine the relevance of these kinds of models to the Bose metal in light of the new experiments [kapsym,armitage] which reveal that the Hall conductance is zero in the metallic state that disrupts the transition from the superconductor to the insulator in 2D samples. Because of the particle-hole symmetry in the phase glass model, we find that bosonic excitations in a phase glass background generate no Hall conductance at the Gaussian level. Furthermore, this result persists to any order in perturbation theory in the interactions. We show that when particle-hole symmetry is broken, the Hall conductance turns on with the same power law as does the longitudinal conductance. This prediction can be verified experimentally by applying a ground plane to the 2D samples.