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arXiv 1809.03027cond-mat.supr-con
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分数涡旋密度下超导阵列中动态涡旋Mott转变的临界行为

Critical behavior of dynamic vortex Mott transition in superconducting arrays at fractional vortex densities

Enzo Granato

摘要:

本文研究了在热涨落和磁场作用下,二维超导阵列在外加驱动电流作用下的微分电阻率跃迁,磁场的大小对应于每个元格的$f$通量量子数.最近的实验已经确定,这种转变作为一个动态的涡流莫特绝缘体过渡附近的合理值的$f$涡密度。临界行为是从附近的过渡,通过蒙特卡罗模拟的约瑟夫森结阵列模型中的涡旋表示的电流-电压关系的标度分析确定的。对于正方形点阵阵列,在$f=1/2$附近得到的临界指数与实验观察一致。在$f=1/3$附近观察到相同的缩放行为。对于蜂窝状阵列,虽然$f=1/3$得到了类似的结果,但对于$f=1/2$没有过渡,这与无公度涡旋相一致。

英文摘要:

We study the differential resistivity transition of two-dimensional superconducting arrays induced by an external driving current, in the presence of thermal fluctuations and a magnetic field corresponding to $f$ flux quantum per plaquette. Recent experiments have identified this transition as a dynamic vortex Mott insulator transition at vortex densities near rational values of $f$. The critical behavior is determined from a scaling analysis of the current-voltage relation near the transition, obtained by Monte Carlo simulations of a Josephson-junction array model in the vortex representation. For a square-lattice array, the critical exponents obtained near $f=1/2$ are consistent with the experimental observations. The same scaling behavior is observed near $f=1/3$. For a honeycomb array, although similar results are obtained for $f=1/3$, the transition is absent for $f=1/2$, consistent with an incommensurate vortex phase.

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