Novel Ordered States of Electrons

新的电子有序态

• 批准号: 0411800
• 负责人: Chetan Nayak
• 金额: $ 27万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-07-15 至 2007-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0411800&HistoricalAwards=false
• 关键词: Novel; Ordered; States; Electrons

This award supports theoretical research that is devoted to some of the rich and complex states of matter in which electrons can organize themselves in solids. The intellectual merits of the work drive from its main goals: a characterization of the universal properties of these states; an elucidation of their experimental signatures; and a determination of the particular materials in which, and the conditions under which, they can occur. This work will focus on three primary classes of states. (1) Ordered states of the interacting electron gas in the presence of impurities. The goal is a better understanding of the phase diagrams of electrons in two- and three-dimensions as a function of disorder strength and inter-electron spacing. One particularly fascinating possibility is that random impurities may actually facilitate the development of electronic ordering. (2) Density-wave states of non-zero angular momentum. The goal is to elucidate their interplay with superconductivity and magnetism, and their possible role as 'hidden' orders which lead to puzzling behavior in correlated electron materials. Considerable experimental and theoretical interest is focused on determining whether d-density wave order occurs in the cuprate superconductors. (3) Non-Abelian topological states of quantum magnets, quantum dot arrays, and Josephson junction arrays. If a system with non-Abelian braiding statistics were realized in nature, it would be an attractive arena for quantum computation because the richness of this type of braiding statistics permits universal computation through braiding operations and because the quantum information is encoded in topological relations which are automatically protected against the local effects of decoherence. However, very little is known about the conditions under which such states occur. The principle aim of this project is to shed light on this question. The research will be integrated with teaching and training. The PI also plans to complete a textbook on quantum condensed matter theory from a modern perspective.%%%This award supports theoretical research that is devoted to some of the rich and complex states of matter in which electrons can organize themselves in solids. The intellectual merits of the work drive from its main goals: a characterization of the universal properties of these states; an elucidation of their experimental signatures; and a determination of the particular materials in which, and the conditions under which, they can occur. The research will be integrated with teaching and training. The PI also plans to complete a textbook on quantum condensed matter theory from a modern perspective.***

该奖项支持理论研究，致力于一些丰富和复杂的物质状态，其中电子可以在固体中组织自己。这本书的学术价值源于它的主要目标：描述这些状态的普遍属性；对它们的实验特征的说明；以及确定它们可能发生的特定材料和条件。这项工作将集中在三个主要类别的国家。(1)杂质存在时相互作用电子气体的有序态。目标是更好地理解二维和三维电子相图作为无序强度和电子间距的函数。一种特别吸引人的可能性是，随机杂质实际上可能促进电子排序的发展。(2)非零角动量的密度波态。目标是阐明它们与超导性和磁性的相互作用，以及它们作为“隐藏”序的可能作用，这些“隐藏”序导致相关电子材料中令人费解的行为。相当大的实验和理论兴趣集中在确定d-密度波序是否发生在铜超导体中。(3)量子磁体、量子点阵列和约瑟夫森结阵列的非阿贝尔拓扑态。如果一个具有非阿贝尔编织统计的系统在自然界中被实现，它将是量子计算的一个有吸引力的舞台，因为这种类型的编织统计的丰富性允许通过编织操作进行通用计算，因为量子信息被编码在拓扑关系中，这种关系可以自动保护免受局部退相干的影响。然而，人们对这种状态发生的条件知之甚少。这个项目的主要目的是阐明这个问题。研究将与教学和培训相结合。PI还计划完成一本现代视角下的量子凝聚态理论教科书。该奖项支持理论研究，致力于一些丰富和复杂的物质状态，其中电子可以在固体中组织自己。这本书的学术价值源于它的主要目标：描述这些状态的普遍属性；对它们的实验特征的说明；以及确定它们可能发生的特定材料和条件。研究将与教学和培训相结合。PI还计划完成一本现代视角下的量子凝聚态理论教科书