New Approach to the Fractional Quantum Hall Effects

分数量子霍尔效应的新方法

• 批准号: 0071611
• 负责人: Ganpathy Murthy
• 金额: $ 16.8万
• 依托单位: University of Kentucky Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-07-01 至 2003-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0071611&HistoricalAwards=false
• 关键词: New; Approach; Fractional; Quantum; Hall

0071611MurthyThis is a grant to support theoretical research on the physics of correlated electrons. The quintessential example of strongly correlated physics is the fractional quantum Hall effect. In very strong magnetic fields the kinetic energy is completely degenerate, and the dynamics is determined by interactions alone. The focus of the research is to investigate quantum phase transitions between possible phases of electrons in strong magnetic fields as various external tunable parameters (such as Landau-level mixing, sample thickness, disorder, and the Zeeman energy) are varied. A new approach developed by the PI with Shankar will be used, supplemented by standard techniques. The states to be studied include: fractional quantum Hall liquid; Wigner crystal; Hall crystal; p-wave superconducting composite fermion states and their inhomogeneous generalizations.%%%This is grant to support theoretical research on the physics of correlated electrons. The quintessential example of strongly correlated physics is the fractional quantum Hall effect. In very strong magnetic fields the kinetic energy is completely degenerate, and the dynamics is determined by interactions alone. The research will study a variety of configurations of these systems. The results will be of fundamental importance and will possibly provide insight into device applications.***

0071611--这是一笔拨款，用于支持关联电子物理的理论研究。强关联物理学的典型例子是分数量子霍尔效应。在很强的磁场中，动能是完全简并的，动力学仅由相互作用决定。研究的重点是研究不同的外部可调参数(如朗道能级混合、样品厚度、无序度和塞曼能量)在强磁场中电子可能相变之间的量子相变。将使用PI与Shankar共同开发的新方法，并辅之以标准技术。所研究的态包括：分数量子霍尔态、维格纳晶体、霍尔晶体、p波超导复合费米子态及其非均匀推广。强关联物理学的典型例子是分数量子霍尔效应。在很强的磁场中，动能是完全简并的，动力学仅由相互作用决定。这项研究将研究这些系统的各种配置。这些结果将具有根本性的重要性，并可能提供对设备应用的洞察。*