Disorder and Correlations in Low Dimensions

低维中的无序性和相关性

• 批准号: 9704005
• 负责人: Matthew P.A. Fisher
• 金额: --
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-07-01 至 2003-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9704005&HistoricalAwards=false
• 关键词: Disorder; Correlations; Low; Dimensions

9704005 Fisher This grant titled "Disorder and Correlations in Low Dimensions" is to support the theoretical research of a young and a well honored (Waterman award, among others) PI. He is proposing work on a host of problems, all derived from the effects one encounters in increasingly smaller devices. More specific, the research includes work on: (1) transport in quasi 1d systems, incorporating the novel correlations known as the Luttinger liquid as well as the compounds that exhibit "high Tc superconductivity, (2) Quantum Hall transport and tunneling in novel geometries, (3) electron localization transitions in 1-d and 2-d using supersymmetry and numerical methods and finally (4) non-equilibrium transport in vortex lattices, driven through a random pinning environment. %%% As the devices become smaller, the physical phenomena become increasingly sensitive to the effect of coulomb interaction and presence of defects (disorder). This grant is to support the work of a young, distinguished PI, recipient of the 1995 Waterman award among other honors. He is proposing research on phenomena which occur in small dimensions (thin films, wires or dots) and also involve rather complex mathematics. The selected projects have applications in cutting edge technology in superconductivity and magnetism. ***

9704005费雪这项名为“低维的无序与关联”的拨款，是为了支持一位年轻而荣获殊荣(沃特曼奖等)的少年派的理论研究。他提出了解决一系列问题的建议，这些问题都源于人们在越来越小的设备上遇到的影响。更具体地说，研究工作包括：(1)准一维系统中的输运，结合了被称为Luttinger液体的新关联以及表现出“高T_c超导电性”的化合物，(2)新几何结构中的量子霍尔输运和隧穿，(3)使用超对称性和数值方法在一维和二维中的电子局域跃迁，以及(4)通过随机钉扎环境驱动的涡旋晶格中的非平衡输运。随着器件变得更小，物理现象对库仑相互作用和缺陷(无序)的存在变得越来越敏感。这笔赠款是为了支持一位年轻、杰出的少年派的工作，他曾获得1995年沃特曼奖等荣誉。他提议对发生在小维度(薄膜、电线或点)的现象进行研究，并涉及到相当复杂的数学。选定的项目在超导和磁学的尖端技术中有应用。***