Longitudinal Current Dissipation in Bose-glass Superconductors

TL;DR

This paper develops a scaling theory for vortex motion in Bose glass superconductors, revealing anisotropic resistivity behavior near the transition and predicting discontinuities in superfluid density.

Contribution

It introduces a novel scaling framework for vortex dynamics in Bose glass superconductors, highlighting anisotropic resistivity and superfluid density behavior near the transition.

Findings

Longitudinal resistivity vanishes faster than transverse resistivity above T_BG.

Electric field angle approaches perpendicular to the defect axis near T_BG.

Predicts a jump discontinuity in superfluid density at T_BG.

Abstract

A scaling theory of vortex motion in Bose glass superconductors with currents parallel to the common direction of the magnetic field and columnar defects is presented. Above the Bose-glass transition the longitudinal DC resistivity $\rho_{||}(T)\sim (T-T_{BG})^{\nu' z'}$ vanishes much faster than the corresponding transverse resistivity $\rho_{\perp}(T)\sim (T-T_{BG})^{\nu' (z'-2)}$, thus {\it reversing} the usual anisotropy of electrical transport in the normal state of layered superconductors. In the presence of a current $\bf J$ at an angle $\theta_J$ with the common field and columnar defect axis, the electric field angle $\theta_E$ approaches $\pi/2$ as $T\rightarrow T_{BG}^+$. Scaling also predicts the behavior of penetration depths for the AC currents as $T\rightarrow T_{BG}^-$, and implies a {\it jump discontinuity} at $T_{BG}$ in the superfluid density describing transport parallel to the columns.