无理阻挫下约瑟夫森结阵列的零温电阻转变
Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration
摘要：
我们使用一个驱动的Monte Carlo动力学的相位表示，以确定线性电阻率和电流-电压标度的二维约瑟夫森结阵列在一个无理通量量子每个元格。结果是一致的相位相干转变的情况下，临界温度消失。线性电阻率在任何有限温度下都是非零的，但非线性行为在由热临界指数确定的温度依赖性交叉电流下发生。从动态标度分析，我们确定这个临界指数和热激活行为的线性电阻率。结果是在协议与早期的计算中使用的constitutively分流结模型的动态阵列。的线性电阻率的行为是一致的超导晶粒阵列上的一些实验结果，但不是线网络，我们认为已经获得了在电流制度以上的交叉电流。
英文摘要：
We use a driven Monte Carlo dynamics in the phase representation to determine the linear resistivity and current-voltage scaling of a two-dimensional Josephson-junction array at an irrational flux quantum per plaquette. The results are consistent with a phase-coherence transition scenario where the critical temperature vanishes. The linear resistivity is nonzero at any finite temperatures but nonlinear behavior sets in at a temperature-dependent crossover current determined by the thermal critical exponent. From a dynamic scaling analysis we determine this critical exponent and the thermally activated behavior of the linear resistivity. The results are in agreement with earlier calculations using the resistively shunted-junction model for the dynamics of the array. The linear resistivity behavior is consistent with some experimental results on arrays of superconducting grains but not on wire networks, which we argue have been obtained in a current regime above the crossover current.
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