Phase transitions in the distribution of the Andreev conductance of superconductor-metal junctions with multiple transverse modes |
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Authors: | Damle Kedar Majumdar Satya N Tripathi Vikram Vivo Pierpaolo |
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Institution: | Tata Institute of Fundamental Research, 1, Homi Bhabha Road, Mumbai 400005, India. |
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Abstract: | We compute analytically the full distribution of Andreev conductance G(NS) of a metal-superconductor interface with a large number N(c) of transverse modes, using a random matrix approach. The probability distribution P(G(NS),N(c) in the limit of large N(c) displays a Gaussian behavior near the average value =(2-√2)N(c) and asymmetric power-law tails in the two limits of very small and very large G(NS). In addition, we find a novel third regime sandwiched between the central Gaussian peak and the power-law tail for large G(NS). Weakly nonanalytic points separate these four regimes-these are shown to be consequences of three phase transitions in an associated Coulomb gas problem. |
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