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.***

0071611MURTHYTHIS是一项赠款，用于支持有关相关电子物理学的理论研究。 密切相关的物理学的典型示例是分数量子霍尔效应。 在非常强的磁场中，动能是完全退化的，动力学是仅由相互作用决定的。 这项研究的重点是研究强磁场中电子相位可能的量子相变，因为各种外部可调参数（例如Landau级混合，样品厚度，混乱和Zeeman能量）各不相同。 PI与Shankar开发的新方法将使用标准技术补充。 要研究的状态包括：分数量子厅液体； Wigner晶体；霍尔水晶； p波超导综合效率态及其不均匀的概括。%%%这是授予有关相关电子物理学的理论研究的授权。 密切相关的物理学的典型示例是分数量子霍尔效应。 在非常强的磁场中，动能是完全退化的，动力学是仅由相互作用决定的。 该研究将研究这些系统的各种配置。 结果将非常重要，并且可能会提供对设备应用程序的见解。***