Nonequilibrium Superconductivity in Disordered, Granular and Hybrid Systems

技术摘要：数学科学部和材料研究部为该奖项提供资金。该奖项支持理论研究和教育，旨在发展无序、颗粒和混合系统中波动超导电性的动力学理论。这项工作是由各种系统的实验推动的，这些系统包括：准一维超导纳米线、无序二维薄膜、颗粒阵列、金属-超导混合纳米结构和光学陷阱中的超冷费米子原子。这一理论的关键是序参数的强烈涨落和电子自由度的非平衡动力学之间的相互作用。发展的理论将应用于广泛的实验相关的观测数据，如输运、热和磁性质，以及散粒噪声、库仑阻力和涨落。在该项目的工作过程中，将采用和进一步发展无序、非平衡系统动力学的先进场论方法。该奖项还支持两名研究生和可能的一名博士后的教育。这项工作的各个方面将与实验密切合作进行。这项研究还涉及与德国和俄罗斯的研究人员进行国际合作。非技术总结：数学科学部和材料研究部为该奖项提供资金。该奖项支持由各种材料和系统的实验所推动的理论研究和教育，这些材料和系统接近于表现出超导电性。超导性是一种由量子力学编排的电子协同行为表征的物质状态。超导状态的一个特征是它可以无损耗地携带电流。在超导态的开始附近，超导的微观前体的短暂出现会导致新的现象，并可能改变材料或系统的性质。PI的目标是开发一种理论，可以预测近距离超导的后果。该奖项还支持两名研究生的教育，可能还有一名博士后。这项工作的各个方面将与实验密切合作进行。这项研究还涉及与德国和俄罗斯的研究人员进行国际合作。

TECHNICAL SUMMARY:The Division of Mathematical Sciences and the Division of Materials Research contribute funds to this award. This award supports theoretical research and education with aim to develop a kinetic theory of fluctuating superconductivity in disordered, granular and hybrid systems. This work is motivated by experiments on a variety of systems including: quasi one-dimensional superconducting nanowires, disordered two-dimensional films, granular arrays, hybrid metal-superconductor nanostructures, and ultracold fermionic atoms in optical traps.The key element of this theory is the interplay between strong fluctuations of the order parameter and nonequilibrium dynamics of electronic degrees of freedom. The developed theory will be applied to a broad range of experimentally relevant observables, such as transport, thermal and magnetic properties, as well as shot noise, Coulomb drag and fluctuations. Advanced field-theoretical approaches to the kinetics of disordered, out-of-equilibrium systems will be employed and further developed during the course of work on the project.This award also supports the education of two graduate students and possibly a post-doc. Aspects of this work will be carried out in close collaboration with experiment. The research also involves international cooperation with researchers from Germany and Russia. NON-TECHNICAL SUMMARY:The Division of Mathematical Sciences and the Division of Materials Research contribute funds to this award. This award supports theoretical research and education motivated by experiments on a variety of materials and systems that are close to exhibiting superconductivity. Superconductivity is a state of matter characterized by the cooperative behavior of electrons choreographed by quantum mechanics. One signature of the superconducting state is that it can carry electric current without loss. Near the onset of the superconducting state, the fleeting appearance of microscopic precursors of superconductivity lead to new phenomena and can alter the properties of a material or system. The PI aims to develop a theory can predict the consequences of being in close proximity to superconductivity. This award also supports the education of two graduate students and possibly a post-doc. Aspects of this work will be carried out in close collaboration with experiment. The research also involves international cooperation with researchers from Germany and Russia.