Stability of the Kink State in a Stack of Intrinsic Josephson Junctions

TL;DR

This paper investigates the stability of a newly proposed phase kink state in a stack of inductively coupled Josephson junctions, demonstrating its robustness against perturbations and weak impact on superconducting order.

Contribution

It provides a stability analysis of the recently proposed phase kink state in Josephson junction stacks, confirming its robustness and weak suppression of superconductivity.

Findings

Kink state is stable against various perturbations.

Suppression of superconducting order parameter is weak.

The phase kink state can be a reliable dynamic state in Josephson junctions.

Abstract

A new dynamic state characterized by $(2m_l+1)\pi$ static phase kink with integers $\{m_l\}$ is proposed recently in a stack of inductively coupled Josephson junctions. In the present paper, the stability of the phase kink state is investigated against many perturbations and it is shown that the kink state is stable. It is also discussed that the suppression of the amplitude of superconducting order parameter caused by the kink is weak.