Journal
PHYSICAL REVIEW B
Volume 83, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.83.085413
Keywords
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Funding
- Dutch Science Foundation NWO/FOM
- Deutscher Akademischer Austausch Dienst DAAD
- ERC
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We calculate the probability distribution of the Andreev reflection eigenvalues R-n at the Fermi level in the circular ensemble of random-matrix theory. Without spin-rotation symmetry, the statistics of the electrical conductance G depends on the topological quantum number Q of the superconductor. We show that this dependence is nonperturbative in the number N of scattering channels by proving that the p-th cumulant of G is independent of Q for p < N/d (with d = 2 or d = 1 in the presence or in the absence of time-reversal symmetry). A large-N effect such as weak localization cannot, therefore, probe the topological quantum number. For small N we calculate the full distribution P(G) of the conductance and find qualitative differences in the topologically trivial and nontrivial phases.
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