${\mathbb{Z}}_2$~Green's function topology of Majorana wires

Abstract

We represent 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 define the topological invariant for disordered interacting systems.

final version

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Cited by in corpus (4)

• Two-dimensional platform for networks of Majorana bound states
• Equivalent topological invariants for one-dimensional Majorana wires in symmetry class D
• Topological invariant for generic 1D time reversal symmetric superconductors in class DIII
• Topological phase diagram of the disordered 2XY model in presence of generalized Dzyaloshinskii-Moriya Interaction