Dynamic transition and resonance in current-driven arrays of Josephson junctions

TL;DR

This paper investigates the dynamic phase transition and resonance phenomena in a driven two-dimensional Josephson-junction array, revealing how temperature, current amplitude, and harmonic responses influence the system's ordered and disordered states.

Contribution

It introduces a detailed analysis of the dynamic phase transition and stochastic resonance in a fully frustrated Josephson-junction array under oscillating currents.

Findings

Dynamic phase transition to ordered state at low temperatures

Transition temperature decreases with increasing driving amplitude

Distinct resonance behaviors for odd and even harmonics

Abstract

We consider a two-dimensional fully frustrated Josephson-junction array, which is driven uniformly by oscillating currents. As the temperature is lowered, there emerges a dynamic phase transition to an ordered state with nonzero dynamic order parameter for small currents. The transition temperature decreases monotonically with the driving amplitude, approaching zero at a certain critical value of the amplitude. Above the critical value, the disordered phase and the dynamically ordered phase are observed to appear alternatively. The characteristic stochastic resonance behavior of the system is also examined, which reveals that the resonance behavior of odd and even harmonics can be different according to the zero-temperature state.