No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
Arbel Haim, Erez Berg, Karsten Flensberg, Yuval Oreg
DOI 10.1103/PhysRevB.94.161110 · Physical Review B
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Abstract
We prove that a system of noninteracting electrons proximity coupled to a conventional s-wave superconductor cannot realize a time-reversal invariant topological phase. This is done by showing that for such a system, in either one or two dimensions, the topological invariant of the corresponding symmetry class (DIII) is always trivial. Our results suggest that the pursuit of Majorana bound states in time-reversal invariant systems should be aimed at interacting systems or at proximity to unconventional superconductors.
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