Theory of Superconducting and Electromagnetic Properties of Some Nanostructured Materials

该基金将支持凝聚态物理学两个相关领域的理论研究。 第一个涉及约瑟夫森结和约瑟夫森结组的研究，特别是当耦合到一个单模谐振腔。 我们将研究这些系统的经典和量子力学。 在经典的制度，这样的系统动态耦合的非线性微分方程，我们将分析数值和解析，特别注意通过腔模式的磁场耦合。 在量子体系中，结组（无论是否耦合到腔）通常可以被视为可以通过实验控制，初始化和读出的两能级系统组。 在第二个研究领域，我们将研究各种颗粒材料的电磁特性。 计划研究的具体问题包括一维和二维金属纳米颗粒阵列中的等离子体波传播，金属和各向异性基质的随机纳米复合材料的电磁响应，金纳米颗粒和DNA复合材料的光学和结构特性，颗粒材料的非线性光散射，电介质颗粒悬浮液中的力，和电磁响应的铜氧化物超导体所产生的内在不均匀性。 这些问题有一个共同的主题，即它们涉及到在10- 1000 nm尺度上结构化的材料的研究。该项目将通过在理论凝聚态物理学的一系列技术方面培训研究生、博士后助理和本科生，产生广泛的教育影响，从而增加美国训练有素的科学家的数量，包括妇女和代表性不足群体的成员。 所开发的科学进展将在俄亥俄州提供的课程和其他地方的研讨会上展示。该基金将支持凝聚态物理学两个相关领域的理论研究。 第一个涉及约瑟夫森结的研究，耦合超导薄膜，约瑟夫森结组，特别是当耦合到一个单模谐振腔。 在第二个研究领域，我们将研究各种颗粒材料的电磁特性。 这两个系统都将在纳米级上进行研究。 这项研究将通过在理论凝聚态物理学的一系列技术中培训研究生、博士后和本科生，产生广泛的教育影响，从而增加美国训练有素的科学家的数量。包括妇女和代表性不足群体的成员。 所取得的科学进展将在俄亥俄州提供的课程和其他地方的研讨会上介绍。*

This grant will support theoretical research in two related areas of condensed matter physics. The first involves the study of Josephson junctions and groups of Josephson junctions, especially when coupled to a single-mode resonant cavity. We will investigate these systems both classically and quantum-mechanically. In the classical regime, such systems are described dynamically by coupled nonlinear differential equations which we will analyze both numerically and analytically, with particular attention being paid to coupling via the magnetic field of the cavity mode. In the quantum regime, groups of junctions (whether or not coupled to a cavity) can often be treated as groups of two-level systems which can be experimentally controlled, initialized, and read out. In the second area of research, we will study the electromagnetic properties of a wide range of granular materials. Among the specific problems planned for study are plasmon wave propagation in one-and two-dimensional arrays of metallic nanoparticles, electromagnetic response of random nanocomposites of metal and anisotropic hosts, optical and structural properties of composites of gold nanoparticles and DNA, nonlinear light scattering from granular materials, forces in suspensions of dielectric particles, and electromagnetic response of cuprate superconductors arising from intrinsic inhomogeneities. These problems have the common theme that they involve the study of materials which are structured at a scale of 10-1000nm.The project will have an extensive educational impact by training graduate students, postdoctoral associates and undergraduates in a range of techniques in theoretical condensed matter physics, and will thus increase the pool of highly trained scientists in the U.S., including women and members of underrepresented groups. The scientific advances developed will be presented in courses offered at Ohio State, and in seminars elsewhere.%%%This grant will support theoretical research in two related areas of condensed matter physics. The first involves the study of Josephson junctions, coupled superconducting thin films, and groups of Josephson junctions, especially when coupled to a single-mode resonant cavity. In the second area of research, we will study the electromagnetic properties of a wide range of granular materials. Both of these systems will be studied on the nanoscale. The research will have an extensive educational impact by training graduate students, postdoctoral associates and undergraduates in a range of techniques in theoretical condensed matter physics, and will thus increase the pool of highly trained scientists in the U.S., including women and members of underrepresented groups. The scientific advances developed will be presented in courses offered at Ohio State, and in seminars elsewhere.***