Resonance phenomena in asymmetric superconducting quantum interference devices

TL;DR

This paper develops a theoretical model for self-induced resonance phenomena in asymmetric superconducting quantum interference devices, accounting for various asymmetries and phase shifts, to better understand real-world device behaviors.

Contribution

It introduces an extended model for asymmetric SQUIDs that includes multiple asymmetries and phase shifts, advancing the theoretical understanding of resonance phenomena in these devices.

Findings

Model accounts for Josephson current, capacitance, and dissipation asymmetries.

Includes phase asymmetries for high-temperature superconducting devices.

Provides insights into resonance behaviors in non-ideal SQUIDs.

Abstract

Theory of self induced resonances in asymmetric two-junction interferometer device is presented. In real devices it is impossible to have an ideal interferometer free of imperfections. Thus, we extended previous theoretical approaches introducing a model which contains several asymmetries: Josephson current $\epsilon$, capacitances $\chi$ and dissipation $\rho$ presented in an equivalent circuit. Moreover, non conventional symmetry of the order parameter in high temperature superconducting quantum interference devices forced us to include phase asymmetries. Therefore, the model has been extended to the case of $\pi$-shift interferometers, where a phase shift is present in one of the junctions.