Thermal expansion of Josephson junctions as an elastic response to an effective stress field

Abstract

By introducing a concept of thermal expansion (TE) of a Josephson junction as an elastic response to an effective stress field, we study (both analytically and numerically) the temperature and magnetic field dependence of TE coefficient $\alpha$ in a single small junction and in a square array. In particular, we found that in addition to {\it field} oscillations due to Fraunhofer-like dependence of the critical current, $\alpha$ of a small single junction also exhibits strong flux driven {\it temperature} oscillations near $T_C$. We also numerically simulated stress induced response of a closed loop with finite self-inductance (a prototype of an array) and found that $\alpha$ of a $5\times 5$ array may still exhibit temperature oscillations provided the applied magnetic field is strong enough to compensate for the screening induced effects.

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Cited by in corpus (3)

• Dynamical reentrance and geometry imposed quantization effects in Nb-AlOx-Nb Josephson junction arrays
• Manifestation of geometric resonance in current dependence of AC susceptibility for unshunted array of Nb-AlOx-Nb Josephson junctions
• Novel magnetoinductance effects in Josephson Junction Arrays: A single-plaquette approximation