Physics of Strong Disorder and Correlation

强无序与相关物理学

• 批准号: 9813764
• 负责人: Patrick Lee
• 金额: $ 27.3万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-11-01 至 2001-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9813764&HistoricalAwards=false
• 关键词: Physics; Strong; Disorder; Correlation

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.***

9813764Lee该奖项支持在强相关性和无序性领域的研究和教育。将考虑三个问题：(1)二维金属到绝缘体的转变。这一领域的一个研究重点是考虑强相互作用和无序的作用，并确定局域力矩形成在相变附近的金属状态中的作用。(2)自旋为1/2的反铁磁体中非磁性杂质对量子涨落的影响。特别令人振奋的是对一种令人惊讶的纯量子力学效应的理论和实验观察：通过在梯形化合物中引入杂质而产生的长程有序。PI询问在二维自旋1/2海森堡模型中是否存在相关现象，并计划研究无序和外部磁场的影响。(3)国际电工委员会建议继续研究d波超导体中的无序效应。%该奖项支持有关现象和有序状态(例如超导电性)的研究，这些现象和有序状态涉及材料中相互作用强烈的电子，这些材料表现出明显的随机偏离完美结晶顺序的现象。对这些现象的理解具有根本的重要性，并与一大类对未来器件技术具有潜在重要性的材料有关，其中包括捕获在半导体和高温超导体及其相关材料之间界面的电子。这项研究活动为高级学生和研究生提供固态材料理论的最新方法和概念的继续教育。*