Bulk–edge correspondence, spectral flow and Atiyah–Patodi–Singer theorem for the Z2-invariant in topological insulators

We study the bulk–edge correspondence in topological insulators by taking Fu–Kane spin pumping model as an example. We show that the Kane–Mele invariant in this model is Z2 invariant modulo the spectral flow of a single-parameter family of 1+1-dimensional Dirac operators with a global boundary condi...

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Bibliographic Details
Main Authors: Yue Yu, Yong-Shi Wu, Xincheng Xie
Format: Article
Language:English
Published: Elsevier 2017-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317300329