Topological invariant in three-dimensional band insulators with disorder

Details Topological invariant in three-dimensional band insulators with disorder Topological invariant in three-dimensional band insulators with disorder

2010-06-30

arxiv.org/abs/1006.5951v2

Phys. Rev. B 82, 115122 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages and 5 figures; minor changes and publishing version

Scientific paper

Topological insulators in three dimensions are characterized by a Z2-valued topological invariant, which consists of a strong index and three weak indices. In the presence of disorder, only the strong index survives. This paper studies the topological invariant in disordered three-dimensional system by viewing it as a super-cell of an in?nite periodic system. As an application of this method we show that the strong index becomes non-trivial when strong enough disorder is introduced into a trivial insulator with spin-orbit coupling, realizing a strong topological Anderson insulator. We also numerically extract the gap range and determine the phase boundaries of this topological phase, which ?ts well with those obtained from self-consistent Born approximation (SCBA) and the transport calculations.

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