Vortices and Dissipation in a Bilayer Thin Film Superconductor

TL;DR

This paper investigates vortex behavior and dissipation mechanisms in bilayer thin film superconductors using a theoretical model, identifying three distinct phases with unique electrical properties and supporting findings through numerical simulations.

Contribution

It introduces a renormalization group analysis of vortex phases in bilayer superconductors and links these phases to measurable electrical behaviors.

Findings

Three vortex phases identified: free, logarithmically confined, linearly confined.

Distinct electrical responses for each phase: metallic, power-law I-V, and dissipationless.

Numerical simulations support the theoretical phase distinctions.

Abstract

Vortex dynamics in a bilayer thin film superconductor are studied through a Josephson-coupled double layer XY model. A renormalization group analysis shows that there are three possible states associated with the relative phase of the layers: a free vortex phase, a logarithmically confined vortex-antivortex pair phase, and a linearly confined phase. The phases may be distinguished by measuring the resistance to counterflow current. For a geometry in which current is injected and removed from the two layers at the same edge by an ideal (dissipationless) lead, we argue that the three phases yield distinct behaviors: metallic conductivity in the free vortex phase, a power law I-V in the logarithmically confined phase, and true dissipationless superconductivity in the linearly confined phase. Numerical simulations of a resistively shunted Josephson junction model reveal size dependences for the resistance of this system that support these expectations.