Thursday, June 21, 2012

1206.4410 (T. Fukui et al.)

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

T. Fukui, K. Shiozaki, T. Fujiwara, S. Fujimoto
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.
View original: http://arxiv.org/abs/1206.4410

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