Conductivity in glass phases of disordered granular superconductors in magnetic fields

TL;DR

This paper investigates the electric conductivity behavior in glass phases of 3D disordered granular superconductors under magnetic fields, highlighting the importance of dissipative dynamics for divergent dc conductivity.

Contribution

It demonstrates that including Ohmic dissipation in the model results in divergent dc conductivity in glass phases, contrasting with non-dissipative models that show metallic responses.

Findings

Dissipative dynamics lead to divergent dc conductivity in glass phases.

Without dissipation, glass phases exhibit metallic responses regardless of disorder correlation.

The study clarifies the role of dissipation in the electrical properties of disordered superconductors.

Abstract

The electric conductivities in glass phases of three-dimensional (3D) granular superconductors in magnetic fields are examined based on a quantum disordered Josephson-junction array. A correct inclusion of the Ohmic dissipative dynamics leads to glass phases with divergent dc conductivity. In contrast, with no dissipative term, a metallic response in a glass phase is obtained irrespective of the range of correlation of quenched disorder, i.e., even in the so-called Bose-glass phase with experimentally vanishing resistivity.