Effect of coupling on scheme of hysteresis jumps in current-voltage characteristics of intrinsic Josephson junctions in high- superconductors

TL;DR

This paper numerically investigates how coupling affects hysteresis jumps in the current-voltage characteristics of intrinsic Josephson junctions in high-temperature superconductors, revealing new features of the coupling effect.

Contribution

It introduces a detailed numerical analysis of the coupling constant's influence on hysteresis behavior in Josephson junctions, highlighting novel features of the coupling effect.

Findings

Coupling constant  affects the slopes and endpoints of current-voltage branches.

The study reveals new features of hysteresis jumps due to coupling.

The results enhance understanding of non-linear dynamics in high-temperature superconductor junctions.

Abstract

We report the numerical calculations of the current-voltage characteristics of intrinsic Josephson junctions in high- superconductors. The charging effect at superconducting layers is taken into account. A set of equations is used to study the non-linear dynamics of the system. In framework of capacitively coupled Josephson junctions model we obtain the total number of branches using fixed initial conditions for phases and their derivatives. The influence of the coupling constant \alpha on the current-voltage characteristics at fixed parameter \beta (\beta^2=1/\beta_c, where \beta_c is McCumber parameter) and the influence of \alpha on \beta-dependence of the current-voltage characteristics are investigated. We obtain the \alpha-dependence of the branch's slopes and branch's endpoints. The obtained results show new features of the coupling effect on the scheme of hysteresis jumps in current-voltage characteristics of intrinsic Josephson junctions.