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Stability of the boundary zero modes in one-dimensional topological superconductors

K. V. Samokhin, B. P. Truong

DOI 10.1103/PhysRevB.95.134514 · Physical Review B

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Abstract

We calculate the spectrum of the Andreev bound states in a one-dimensional superconductor with a strong Rashba spin-orbit coupling. We focus on the fate of the zero-energy Andreev modes in the presence of time reversal symmetry breaking perturbations, both at the boundary and in the bulk. It is shown that the zero modes are destroyed by time reversal symmetry breaking fluctuations, even if the mean-field state of the system is time-reversal invariant and topologically nontrivial.

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