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

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.

References in corpus (6)

• Theory of quantum metal to superconductor transitions in highly conducting systems
• Magnetically Induced Metallic Phase in Superconducting Tantalum Films
• Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
• Non-thermal origin of nonlinear transport across magnetically induced superconductor-metal-insulator transition
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Cited by in corpus (1)

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