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arXiv · 1206.4410

Bulk-edge correspondence for Chern topological phases: A viewpoint from a generalized index theorem

T. Fukui·K. Shiozaki·T. Fujiwara·S. Fujimoto
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Abstract

We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the point of view of the index theorem for open spaces. We assume generic Hamiltonians not only with a linear dispersion but also with higher order derivatives arising from generic band structures. Using a generalized index theorem valid for such systems, we show the equivalence between the spectral flow of the edge states and the Chern numbers specifying the bulk systems.

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T. Fukui, K. Shiozaki, T. Fujiwara, S. Fujimoto. 2012-10-18. Bulk-edge correspondence for Chern topological phases: A viewpoint from a generalized index theorem. https://doi.org/10.1143/jpsj.81.114602

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