Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-04-07
Phys. Rev. B 79, 195321 (2009) [4 pages]
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Presentation changed to improve clarity, some technical aspects of the topological arguments including material previously cit
Scientific paper
10.1103/PhysRevB.79.195321
We propose an alternative formulation of the $Z_2$ topological index for quantum spin Hall systems and band insulators when time reversal invariance is not broken. The index is expressed in terms of the Chern numbers of the bands of the model, and a connection with the number of pairs of robust edge states is thus established. The alternative index is easy to compute in most cases of interest. We also discuss connections with the recently proposed spin Chern number for quantum spin Hall models.
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