Jan Carl Budich, Björn Trauzettel
We calculate the $\mathbb Z_2$ topological invariant characterizing a one dimensional topological superconductor using a Wess-Zumino-Witten dimensional extension. The invariant is formulated in terms of the single particle Green's function which allows to classify interacting systems. Employing a recently proposed generalized Berry curvature method, the topological invariant is represented independent of the extra dimension requiring only the single particle Green's function at zero frequency of the interacting system. Furthermore, a modified twisted boundary conditions approach is used to rigorously formulate the topological invariant for disordered systems.
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http://arxiv.org/abs/1207.1104
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