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arXiv · 1708.09016

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

Julian May-Mann·Philip W. Phillips
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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 $L^θ$ with $θ<0$ 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.

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Julian May-Mann, Philip W. Phillips. 2017-08-29. Vanishing Hall Conductance in the Phase Glass Bose Metal at Zero Temperature. https://doi.org/10.1103/physrevb.97.024508

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