Length-Scale Dependent Superconductor-Insulator Quantum Phase Transition in One Dimension

TL;DR

This paper investigates a length-scale dependent superconductor-insulator quantum phase transition in one-dimensional mesoscopic superconducting arrays, revealing dual behaviors under varying magnetic fields and a critical point with length-independent resistance.

Contribution

It introduces a field-theoretical renormalization group analysis of the phase transition, highlighting the length-scale dependence and dual behavior in the system.

Findings

Length-scale dependent superconductor-insulator transition observed.

Dual behavior of the system at different magnetic fields.

Critical behavior with length-independent resistance at a specific magnetic field.

Abstract

We study the dissipation physics of one dimensional mesoscopic superconducting quantum interference device array by using the field-theoretical renormalization group method. We observe length scale dependent superconductor-insulator quantum phase transition at very low temperature and also observe the dual behaviour of the system for the higher and lower values of magnetic field. At a critical magnetic field, we also observe a critical behaviour where the resistance is independent of length.