Random-matrix theory of Andreev reflection from a topological superconductor

Details Random-matrix theory of Andreev reflection from a topological superconductor Random-matrix theory of Andreev reflection from a topological superconductor

2010-12-04

arxiv.org/abs/1012.0932v3

Phys.Rev.B 83, 085413 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 4 figures (published version)

Scientific paper

10.1103/PhysRevB.83.085413

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

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