Hysteresis behavior in current-driven stationary resonance induced by nonlinearity in the coupled sine-Gordon equation

TL;DR

This paper investigates hysteresis phenomena in current-driven stationary resonances within coupled sine-Gordon systems, highlighting the role of nonlinearity and identifying a critical sine term strength for hysteresis onset.

Contribution

It introduces the concept of hysteresis in current-driven resonance states with $\pi$-phase kinks and analyzes the critical nonlinearity threshold for this behavior.

Findings

Hysteresis occurs due to nonlinearity in the sine term.

A critical sine term strength exists for hysteresis onset.

Amplitude of the sine term matches applied current at critical point.

Abstract

Recently novel current-driven resonant states characterized by the $\pi$-phase kinks were proposed in the coupled sine-Gordon equation. In these states hysteresis behavior is observed with respect to the application process of current, and such behavior is due to nonlinearity in the sine term. Varying strength of the sine term, there exists a critical strength for the hysteresis behavior and the amplitude of the sine term coincides with the applied current at the critical strength.