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- W2093192144 abstract "Using an explicit 1-dimensional model, we provide direct evidence that the one-dimensional topological phases from the AIII and BDI symmetry classes follow a $mathbb Z$-classification, even in the strong disorder regime when the Fermi level is embedded in a dense localized spectrum. The main tool for our analysis is the winding number $nu$, in the non-commutative formulation introduced in I. Mondragon-Shem, J. Song, T. L. Hughes, and E. Prodan, arXiv:1311.5233. For both classes, by varying the parameters of the model and/or the disorder strength, a cascade of sharp topological transitions $nu=0 rightarrow nu=1 rightarrow nu=2$ is generated, in the regime where the insulating gap is completely filled with the localized spectrum. We demonstrate that each topological transition is accompanied by an Anderson localization-delocalization transition. Furthermore, to explicitly rule out a $mathbb Z_2$ classification, a topological transition between $nu=0$ and $nu=2$ is generated. These two phases are also found to be separated by an Anderson localization-delocalization transition, hence proving their distinct identity." @default.
- W2093192144 created "2016-06-24" @default.
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- W2093192144 date "2014-06-24" @default.
- W2093192144 modified "2023-10-14" @default.
- W2093192144 title "AIII and BDI topological systems at strong disorder" @default.
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- W2093192144 doi "https://doi.org/10.1103/physrevb.89.224203" @default.
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