Gauge-Theoretic Studies of Quantum Transport Phenomena

量子输运现象的规范理论研究

基本信息

批准号：
05640345
负责人：
SHIZUYA Kenichi
金额：
$ 0.83万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1993
资助国家：
日本
起止时间：
1993 至 1994
项目状态：
已结题

项目摘要

Quantum transport phenomena such as supercoductivity and superfluidity are intimately tied to the symmetry of the underlying microscopic dynamics, and the framework of gauge theories is particularly suited for the description of such transport phenomena. In view of this, under the Grant-in-Aid over the past two-year period, we have studied some fundamental problems concerning the quantum Hall effect in condensed-matter physics from the viewpoint of gauge theories.1. A paper was presented to point out that the Aharonov-Bohm and Aharonov-Casher effects are tied to electromagnetic angular momentum.2. There has recently been considerable interest in induced Chern-Simons terms in planar Diracelectron systems in connection with the quantum Hall effect. A paper was presented to show that the Chern-Simons terms are induced as a response of the Dirac sea to applied electromagnetic fields.3. We have presented a field-theoretic description of a quantum Hall system of finite width and studied the current distribution in a Hall sample as well as the mechanism responsible for highprecision conductance quantization. Two papers were presented to show that a considerable fraction of current flows along the sample edges as a result of expulsion from the localization-dominated sample bulk.4. Recently W_* symmetry is receiving considerable attention in connection with the incompressibility of quantum Hall fluids. A paper was presented to show that macroscopic electromagnetic properties of Hall systems are neatly summarized in the form of a W_* gauge theory.

量子转运现象（例如超源率和超流体）与基础微观动力学的对称性密切相关，并且规格理论的框架特别适合描述这种传输现象。鉴于这一点，根据过去两年的赠款，我们研究了一些基本问题，这些问题从量规理论的角度来看，在凝结物理学中量子厅效应。1。提出了一篇论文，以指出Aharonov-Bohm和Aharonov-Casher效应与电磁角动量相关。2。最近，与量子霍尔效应有关的平面迪卡克隆系统中的Chern-Simons术语引起了极大的兴趣。提出了一篇论文，以表明Chern-Simons项是作为Dirac Sea对应用电磁场的响应而诱导的。3。我们已经介绍了有限宽度的量子大厅系统的现场理论描述，并研究了Hall样品中的当前分布以及负责高程电导量化的机制。提出了两篇论文，以表明，由于从定位为主的样品批量上驱逐出来，沿着样品边缘的电流流很大一部分。最近，W_*对称与量子厅流体的不可压缩性有关。提出了一篇论文，以表明霍尔系统的宏观电磁特性以w_*量规理论的形式进行整洁总结。