全息约瑟夫森结中的基布尔-祖雷克机制与电流-相位关系
Kibble-Zurek Mechanism and Current-Phase Relation in a Holographic Josephson Junction
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中文总结 AI 辅助
研究全息超流体环中约瑟夫森结的电流-相位关系，利用空间调制电荷密度构建弱连接并在多参数范围研究，确定临界电流与几何参数关系及随温度变化规律，为全息约瑟夫森器件建立框架并提供预测。
中文摘要 AI 辅助
我们对全息超流体环中约瑟夫森结的电流-相位关系进行了全面研究，该关系通过基于基布尔-祖雷克机制的随机和非平衡动力学实现。利用空间调制电荷密度构建弱连接，在一系列几何和热力学参数范围内研究电流-相位关系。由于几何形状紧凑，电流与相位之间的经典正弦关系周期性出现。我们还确定了临界电流与结的几何参数（宽度、陡度和深度）之间的关系。此外，证明临界电流随最终温度呈特征性指数衰减，反映了强耦合 regime 中序参量的热降解。我们的结果为全息约瑟夫森器件建立了一个强大的框架，为高温超导非平衡动力学提供了可实验测试的预测。
英文摘要
We present a comprehensive study of the current-phase relation of the Josephson junction in a holographic superfluid ring, realized from the stochastic and non-equilibrium dynamics according to the Kibble-Zurek mechanism. By employing a spatially modulated charge density to engineer a weak link, the current-phase relation is investigated in a range of geometric and thermodynamic parameters. The seminal sinusoidal relation between the current and the phase emerges periodically due to the compact shape of the geometry. We also identify the relations between the critical current and the geometric parameters of the junction: the width, steepness and depth. Furthermore, we demonstrate that the critical current exhibits a characteristic exponential decaying against the final temperature, reflecting the thermal degradation of the order parameter in a strong-coupling regime. Our results establish a robust framework for holographic Josephson devices, offering experimentally testable predictions for the non-equilibrium dynamics of high-$T_c$ superconductors.
发表机构
- Shanxi Datong University（山西大同大学）
- Shanxi College of Technology（山西工程技术学院）
- Beihang University（北京航空航天大学）
机构由 AI 辅助整理，请以论文原文为准。
