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Anderson topological superconductor

Jan Borchmann, Aaron Farrell, T. Pereg-Barnea

DOI 10.1103/PhysRevB.93.125133 · Physical Review B

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Abstract

In this paper we study the phase diagram of a disordered, spin-orbit coupled superconductor with s-wave or d+id-wave pairing symmetry in symmetry class D. We analyze the topological phase transitions by applying three different methods, which include a disorder averaged entanglement entropy, a disorder averaged real-space Chern number, and an evaluation of the momentum space Chern number in a disorder averaged effective model. We find evidence for a disorder-induced topological state. While in the clean limit there is a single phase transition from a trivial phase with a Chern number C=4 to a topological phase with C=1, in the disordered system there is an intermediate phase with C=3. The phase transition from the trivial C=4 phase into the intermediate phase with C=3 is seen in the real-space calculation of the Chern number. In spite of this, this phase transition is not detectable in the entanglement entropy. A second phase transition from the disorder-induced C=3 into the C=1 phase is seen in all three quantities.

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