Theoretical Studies of Classical and Quantum Coherent Vortex States in Arrays of Mesoscopic Superconductors

将从理论上研究影响现代凝聚态物理的各种系统。要研究的问题涉及超导体的玻璃态行为、宏观量子相干现象、超导体-绝缘体跃迁和相干振荡涡图。这些问题可以用一种独特的OcleanO方法在人工制造的约瑟夫森结阵列中进行实验研究。这些阵列中不同类型的集体涡旋排序将在经典和量子体系中进行研究。约瑟夫森结阵列的动态响应将用超导序参量的朗之万方程和自激场的麦克斯韦洛斯方程来模拟。研究还将扩展到具有在经典极限下具有混沌解的特殊几何结构的介观系统的响应。这些理论问题的动机是实验，并希望扩大我们对先前理论预测的理解，以存在新的相干涡旋状态。将使用的理论技术包括大规模经典和量子蒙特卡罗模拟、重整化群技术、经典动力系统理论、多体技术、路径积分方法、伪谱方法和其他必要的理论方法。将为串行、矢量和并行平台开发算法。这项研究的结果可能会影响量子效应电子学领域。将对强相互作用的微电子阵列进行理论和计算研究。这些阵列是包括高温超导体在内的各种物理系统的优秀模型。它们在某些制度下也表现出混乱的行为。除了具有模型行为外，这些阵列还可以作为实际器件，在微电子尺度上结合量子效应

9521845 Jose A variety of systems will be investigated theoretically which impact modern condensed matter physics. Problems to be studied relate to glassy behavior in superconductors, macroscopic quantum coherent phenomena, superconductor- insulator transitions, and coherent oscillatory vortex patterns. These problems can be studied experimentally in a unique OcleanO way in artificially fabricated Josephson junction arrays. Different types of collective vortex ordering in these arrays will be investigated both in the classical and, mostly, in the quantum regime. The dynamic response of Josephson junction arrays will be modeled by a Langevin equation for the phases of the superconducting order parameter and by MaxwellOs equations for the self- induced fields. Research will also be extended on the response of mesoscopic systems with specially designed geometries that have chaotic solutions in the classsical limit. These theoretical problems are motivated by experiments and by the desire to expand our understanding of previous theoretical predictions for the existence of novel coherent vortex states. The theoretical techniques to be used include large scale classical and quantum Monte Carlo simulations, renormalization group techniques, classical dynamical systems theory, many-body techniques, path integral methods, pseudo-spectral methods, and other theoretical approaches deemed necessary. Algorithms will be developed for serial, vector and parallel platforms. The results of this study are likely to impact the field of quantum effect electronics. %%% A theoretical and computational study will be made of strongly interactiong microelectronic arrays. These arrays are excellent models for a variety of physical systems including high temperature superconductors. They also exhibit chaotic behavior in certain regimes. Besides possessing model behavior, these arrays also serve as actual devices which incorporate quantum effects at the microelectronic scal e. ***