arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2402.07044cond-mat.supr-concond-mat.mes-hall
收藏

rf SQUID 超材料中 Meta-Atoms 之间强电容耦合的效应

Effects of Strong Capacitive Coupling Between Meta-Atoms in rf SQUID Metamaterials

Jingnan Cai, Robin Cantor, Johanne Hizanidis, Nikos Lazarides, Steven M. Anlage

AI总结:

本文首次研究了重叠几何结构中 rf SQUID 之间的强电容与电感耦合效应,通过建立规范不变相位运动方程并扩展至 $N\ imes N\ imes 2$ 阵列,揭示了电容耦合引发的全新自谐振响应,并经理论、数值与 10-30 GHz 实验验证。

摘要:

我们首次研究了在重叠超材料几何结构中,当受到自谐振频率及其附近的射频磁通驱动时,射频超导量子干涉器件(rf SQUIDs)之间强电容和电感耦合的效应。我们建立并求解了每个 SQUID 中 Josephson 结上规范不变相位的运动方程。我们的模型考虑了通过 SQUID 环路布线之间电容重叠的高频位移电流。我们首先对两个重叠的 SQUID 进行建模,并研究线性和非线性高频驱动极限下的响应。通过探索一系列越来越复杂的阵列,该形式体系最终被扩展到 $N\ imes N \ imes 2$ 重叠超材料阵列,在此我们根据三类共振理解了由此产生的众多($8N^2-8N+3$)共振模式。电容耦合引发了 rf SQUID 超材料在定性上全新的自谐振响应,并通过在 10-30 GHz 范围内对电容和电感耦合的 rf SQUID 超材料进行解析理论、数值建模和实验得到了验证。

英文摘要:

We consider, for the first time, the effects of strong capacitive and inductive coupling between radio frequency Superconducting Quantum Interference Devices (rf SQUIDs) in an overlapping metamaterial geometry when driven by rf flux at and near their self-resonant frequencies. The equations of motion for the gauge-invariant phases on the Josephson junctions in each SQUID are set up and solved. Our model accounts for the high-frequency displacement currents through capacitive overlap between the wiring of SQUID loops. We begin by modeling two overlapping SQUIDs and studying the response in both the linear and nonlinear high-frequency driving limits. By exploring a sequence of more and more complicated arrays, the formalism is eventually extended to the $N\times N \times 2$ overlapping metamaterial array, where we develop an understanding of the many ($8N^2-8N+3$) resulting resonant modes in terms of three classes of resonances. The capacitive coupling gives rise to qualitatively new self-resonant responses of rf SQUID metamaterials, and is demonstrated through analytical theory, numerical modeling, and experiment in the 10-30 GHz range on capacitively and inductively coupled rf SQUID metamaterials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑