Charging of Superconducting Layers and Novel Type of Hysteresis in Coupled Josephson Junctions

TL;DR

This paper demonstrates a new type of hysteresis in coupled Josephson junctions related to parametric resonance, showing its dependence on system parameters and charge dynamics, with implications for superconducting layer charging.

Contribution

It introduces a novel hysteresis phenomenon in coupled Josephson junctions, distinct from traditional types, and analyzes its dependence on system parameters and charge dynamics.

Findings

Hysteresis width inversely proportional to McCumber parameter

Charge dynamics differ during increasing and decreasing bias currents

Wavelength of plasma waves affects superconducting layer charging

Abstract

A manifestation of a novel type of hysteresis related to the parametric resonance in the system of coupled Josephson junctions is demonstrated. Opposite to McCumber and Steward hysteresis, we find that the width of this hysteresis is inversely proportional to the McCumber parameter and depends also on coupling between junctions and the boundary conditions. An investigation of time dependence of the electric charge in superconducting layers allow us to explain the origin of this hysteresis by different charge dynamics for increasing and decreasing bias current processes. The effect of wavelength of the longitudinal plasma waves created at the resonance on the charging of superconducting layers is demonstrated. We found a strong effect of the dissipation in the system on the amplitude of the charge oscillations at the resonance.