再论体电导与边缘霍尔电导的相等性
Equality of bulk and edge Hall conductance revisited
摘要：
积分量子霍尔效应可以解释为体电流或边缘电流（或者，当它发生在实际样品中时，作为两者的组合）。这导致了霍尔电导的不同定义，在适当的假设下，这些定义是一致的，如舒尔茨-巴尔德斯等人通过K理论所示。我们提出了一个替代的证据的基础上推广的指数对更一般的运营商的投影。电导的相等性是当通量管从主体内穿过样品的边界移动时该指数的稳定性的表达。
英文摘要：
The integral quantum Hall effect can be explained either as resulting from bulk or edge currents (or, as it occurs in real samples, as a combination of both). This leads to different definitions of Hall conductance, which agree under appropriate hypotheses, as shown by Schulz-Baldes et al. by means of K-theory. We propose an alternative proof based on a generalization of the index of a pair of projections to more general operators. The equality of conductances is an expression of the stability of that index as a flux tube is moved from within the bulk across the boundary of a sample.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
