New Approach to the Fractional Quantum Hall Effects

0071611 Murthy这是一项资助，以支持相关电子物理学的理论研究。 强关联物理学的典型例子是分数量子霍尔效应。 在非常强的磁场中，动能完全退化，动力学仅由相互作用决定。 研究的重点是研究强磁场中电子可能的相位之间的量子相变，因为各种外部可调参数（如朗道能级混合，样品厚度，无序和塞曼能量）是不同的。 将使用PI与Shankar开发的新方法，并辅以标准技术。 要研究的态包括：分数量子霍尔液体;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。这是为了支持相关电子物理学的理论研究。 强关联物理学的典型例子是分数量子霍尔效应。 在非常强的磁场中，动能完全退化，动力学仅由相互作用决定。 该研究将研究这些系统的各种配置。 结果将具有根本的重要性，并可能提供对设备应用的深入了解。

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.***