Equality of Bulk and Edge Hall Conductance Revisited
Equality of Bulk and Edge Hall Conductance Revisited
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重新审视体质和边缘霍尔电导的相等性
DOI：
10.1007/s00220-002-0698-z
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发表时间：
2002
影响因子：
2.4
通讯作者：
G. M. Graf
中科院分区：
文献类型：
--
作者：
P. Elbau;G. M. Graf
翻译后摘要：积分量子霍尔效应可以解释为无论是从散装或边缘电流（或，因为它发生在真实的样品，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Schulz-Baldes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。
Abstract: 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.