论文标题

部分可观测时空混沌系统的无模型预测

Dynamical vortex transitions in a gate-tunable Josephson junction array

论文作者

Bøttcher, C. G. L., Nichele, F., Shabani, J., Palmstrøm, C. J., Marcus, C. M.

论文摘要

我们在二维的约瑟夫森连接阵列中探索涡流动力学的微小大小超导岛,该岛是由外观上的Al/inas超导体 - 导向器异质结构制成的,具有控制Josephson耦合和涡旋固定强度的全球顶部门。随着施加的直流电流,具有差异电阻的最小值会发生过渡,成为整数的本地最大值,而每plaquette $ f $。从超导相的零场过渡是分裂的,但对于异常金属相位,表明在超导阶段不存在或稀疏的涡流,并且在异常金属中冻结。过渡的开始是$ f = 1/2 $的对称性,但在$ f = 1 $上偏斜,与棋盘上稀释涡流/抗替代物的图片一致($ f = 1/2 $)或均匀的涡流阵列($ f = 1 $)。过渡显示出良好的缩放,但指数与较早获得的Mott值不同。除了$ f = 1 $的偏斜外,过渡还显示了整体上偏斜的偏斜模式,围绕整数$ f $ value,我们将其归因于涡流阵列中的涡流,从而使对称性左右半数$ f $。

We explore vortex dynamics in a two-dimensional Josephson junction array of micron-size superconducting islands fabricated from an epitaxial Al/InAs superconductor-semiconductor heterostructure, with a global top gate controlling Josephson coupling and vortex pinning strength. With applied dc current, minima of differential resistance undergo a transition, becoming local maxima at integer and half-integer flux quanta per plaquette, $f$. The zero-field transition from the superconducting phase is split, but unsplit for the anomalous metal phase, suggesting that pinned vortices are absent or sparse in the superconducting phase, and abundant but frozen in the anomalous metal. The onset of the transition is symmetric around $f=1/2$ but skewed around $f=1$, consistent with a picture of dilute vortices/antivortices on top of a checkerboard ($f = 1/2$) or uniform array of vortices ($f = 1$). Transitions show good scaling but with exponents that differ from Mott values obtained earlier. Besides the skewing at $f=1$, transitions show an overall even-odd pattern of skewing around integer $f$ values, which we attribute to vortex commensuration in the square array leading to symmetries around half-integer $f$.

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