title: Phase transitions in the distribution of the Andreev conductance of superconductor-metal junctions with multiple transverse modes.
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 <G(NS)>=(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.
authors: Tata Institute of Fundamental Research, 1, Homi Bhabha Road, Mumbai 400005, India.
authors: Kedar
authors: K
authors: Damle
authors: Satya N
authors: SN
authors: Majumdar
authors: Vikram
authors: V
authors: Tripathi
authors: Pierpaolo
authors: P
authors: Vivo