弗雷德holm 指标与量子霍尔系统的相图
数学物理
2009-10-31 v1 math.MP
摘要
平台中的量子化霍尔电导与弗雷德holm 算符的指标相关。在本文中我们描述与有界及 Toeplitz 算符相关的弗雷德holm 指标的通用“相图”。我们讨论我们的结果对无序整数量子霍尔系统相图的可能关联性。
引用
@article{arxiv.math-ph/0008040,
title = {Fredholm Indices and the Phase Diagram of Quantum Hall Systems},
author = {Joseph E. Avron and Lorenzo Sadun},
journal= {arXiv preprint arXiv:math-ph/0008040},
year = {2009}
}
备注
25 pages, including 7 embedded figures. The mathematical content of this paper is similar to our previous paper math-ph/0003003, but the physical analysis is new