Finite Size and Current Effects on IV Characteristics of Josephson Junction Arrays

TL;DR

This paper investigates how finite size and current influence the current-voltage behavior of Josephson junction arrays, revealing finite size effects at low temperatures and finite current effects at higher temperatures through theoretical and numerical analysis.

Contribution

It provides a combined theoretical and numerical study of finite size and current effects on Josephson junction arrays, highlighting boundary effects and the interplay of multiple length scales.

Findings

Finite size causes crossover from non-linear to linear I-V behavior at low T.

Finite current influences non-linear behavior at T > T_{KT}.

Boundary effects can dominate in small arrays.

Abstract

The effects of finite size and of finite current on the current-voltage characteristics of Josephson junction arrays is studied both theoretically and by numerical simulations. The cross-over from non-linear to linear behavior at low temperature is shown to be a finite size effect and the non-linear behavior at higher temperature, $T>T_{KT}$, is shown to be a finite current effect. These are argued to result from competition between the three length scales characterizing the system. The importance of boundary effects is discussed and it is shown that these may dominate the behavior in small arrays.