Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array

TL;DR

This paper investigates the quantum phase transitions in a one-dimensional resistively shunted Josephson junction array by analyzing the phase diagram and critical properties through strong coupling methods and effective models.

Contribution

It provides a comprehensive analysis of the phase diagram by bridging weak and strong coupling approaches and discusses experimental relevance.

Findings

Identification of phase boundaries in the array.

Characterization of quantum critical points.

Connection to experimental systems like nanowires.

Abstract

We study the phase diagram and quantum critical properties of a resistively shunted Josephson junction array in one dimension from a strong coupling analysis. After mapping the dissipative quantum phase model to an effective sine-Gordon model we study the renormalization group flow and the phase diagram. We try to bridge the phase diagrams obtained from the weak and the strong coupling renormalization group calculations to extract a more comprehensive picture of the complete phase diagram. The relevance of our theory to experiments in nanowires is discussed.