Strongly Correlated and Disordered Fermi Systems

强相关且无序的费米系统

• 批准号: 9529138
• 负责人: Gabriel Kotliar
• 金额: $ 44.3万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-01-01 至 2000-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9529138&HistoricalAwards=false
• 关键词: Strongly; Correlated; Disordered; Fermi; Systems

9529138 Kotliar This grant concerns those properties of a Fermi system that are not present in the weakly interacting-clean substances but that arise as a result of the strong interparticle interaction and/or lack of translational invariance. These properties are present in experiments on metal-insulator transitions. They are also critical to our understanding of heavy fermions, doped semiconductors, amorphous alloys and high temperature superconductors. Specifically, the project consists of three parts (a) Mott transition in orbitally degenerate systems, (b) a large dimension analysis of the interplay between localization and interaction and (c) Effect of quantum fluctuations in the melting of a vortex lattice. %%% Typically, magnets are insulating (Iron Cobalt and Nickel are very subtle exceptions) and superconductors are good metals at high temperatures (when they are not superconducting). Recent discoveries of high temperature superconductors show these materials to belong to a special class, where the normal state of a superconductor is not a very good metal and there is magnetism in similar compounds. The puzzling coexistence of magnetism and dirty metallic character and superconductivity is a complex and challenging theoretical problem. The present grant suggests a novel approach to the solution of this problem and possible understanding of the phenomena of high temperature superconductivity. ***

9529138 Kotliar这个补助金涉及费米系统的那些性质，这些性质不存在于弱相互作用的干净物质中，而是由于强粒子间相互作用和/或缺乏平移不变性而产生的。 这些性质在金属-绝缘体转变的实验中存在。 它们对我们理解重费米子、掺杂半导体、非晶合金和高温超导体也至关重要。 具体地说，该项目包括三个部分：（a）轨道简并系统中的Mott跃迁，（B）局域化和相互作用之间相互作用的大尺度分析和（c）涡旋晶格熔化中的量子涨落效应。 通常，磁体是绝缘的（铁钴和镍是非常微妙的例外），超导体在高温下是良好的金属（当它们不是超导体时）。 高温超导体的最新发现表明这些材料属于一个特殊的类别，超导体的正常状态不是一种非常好的金属，并且在类似的化合物中存在磁性。 磁性、脏金属性和超导电性的共存是一个复杂而具有挑战性的理论问题。 目前的赠款提出了一种新的方法来解决这个问题，并可能理解高温超导现象。 ***