Physics of Strong Disorder and Correlation

9813764 LeeThis奖支持强相关性和无序领域的研究和教育。我们将考虑三个问题：（1）二维金属-绝缘体转变。 这一领域的研究重点是考虑强相互作用和无序的作用，并确定在过渡附近的金属态中局部矩形成的作用。 (2)非磁性杂质在自旋1/2反铁磁体中的作用，量子涨落对它很重要。特别的灵感是一个令人惊讶的纯量子力学效应的理论和实验观察：在梯形化合物中引入杂质诱导的长程有序。 PI询问在二维自旋1/2海森堡模型中是否发生了相关现象，并计划研究无序和外部磁场的影响。(3)PI建议继续研究d波超导体中无序的影响。该奖项支持对现象和有序状态（例如超导性）的研究，这些现象和有序状态涉及电子在材料中彼此强烈相互作用，这些材料显示出与完美晶体有序的显著随机偏差。 对这些现象的理解具有根本的重要性，并且对未来设备技术具有潜在重要性的广泛类别的材料产生影响，包括在半导体和高温超导体及其相关物之间的界面处捕获的电子。这项研究活动提供了先进的学生和研究生在国家的最先进的方法和概念在固态材料理论的继续教育。*

9813764LeeThis award supports research and education in the area of strong correlations and disorder. Three problems will be considered: (1) The metal-to-insulator transition in two dimensions. A focus of research in this area is to take into account the role of strong interactions and disorder, and to ascertain the role of local moment formation in the metallic state near the transition. (2) The effect of non-magnetic impurities in spin 1/2 antiferromagnets for which quantum fluctuations are important. Of particular inspiration is the theoretical and experimental observation of a surprising purely quantum mechanical effect: long-range order induced by introducing impurities in ladder compounds. The PI inquires whether related phenomena occur in the two-dimensional spin 1/2 Heisenberg model, and plans to study the effect of disorder and of an external magnetic field. (3) The PI proposes to continue work on the effect of disorder in d-wave superconductors. %%%This award supports research on phenomena and ordered states (e.g. superconductivity) involving electrons that interact strongly with each other in materials that show significant random deviations from perfect crystalline order. The understanding of these phenomena are of fundamental importance and bears on a wide class of materials of potential importance to future device technologies that includes electrons trapped at interfaces between semiconductors, and high temperature superconductors and their relatives. This research activity provides for continued education of advanced students and post-graduates in state-of-the-art methods and concepts in the theory of solid state materials.***