Strong mechanically-induced effects in DC current-biased suspended Josephson junctions

TL;DR

This paper theoretically explores how DC current bias can activate and detect mechanical oscillations in suspended Josephson junctions, revealing regimes with distinct effects on the current-voltage characteristics, measurable with current technology.

Contribution

It introduces a novel theoretical analysis of mechanically-induced effects in DC biased Josephson junctions, highlighting different regimes based on electromechanical coupling strength.

Findings

Weak coupling leads to Shapiro-like plateaux.

Strong coupling causes mechanically-induced retrapping.

DC techniques can determine resonator frequency and quality factor.

Abstract

Superconductivity is a result of quantum coherence at macroscopic scales. Two superconductors separated by a metallic or insulating weak link exhibit the AC Josephson effect - the conversion of a DC voltage bias into an AC supercurrent. This current may be used to activate mechanical oscillations in a suspended weak link. As the DC voltage bias condition is remarkably difficult to achieve in experiments, here we analyse theoretically how the Josephson effect can be exploited to activate and detect mechanical oscillations in the experimentally relevant condition with purely DC current bias. We unveil for the first time how changing the strength of the electromechanical coupling results in two qualitatively different regimes showing dramatic effects of the oscillations on the DC current-voltage characteristic of the device. These include the apperance of Shapiro-like plateaux for weak coupling and a sudden mechanically-induced retrapping for strong coupling. Our predictions, measurable in state of the art experimental setups, allow the determination of the frequency and quality factor of the resonator using DC only techniques.