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- W2112227065 abstract "We use quasiclassical methods of superconductivity to study the superconducting proximity effect from a topological $p$-wave superconductor into a disordered quasi-one-dimensional metallic wire. We demonstrate that the corresponding Eilenberger equations with disorder reduce to a closed nonlinear equation for the superconducting component of the matrix Green's function. Remarkably, this equation is formally equivalent to a classical mechanical system (i.e., Newton's equations), with the Green function corresponding to a coordinate of a fictitious particle and the coordinate along the wire corresponding to time. This mapping allows us to obtain exact solutions in the disordered nanowire in terms of elliptic functions. A surprising result that comes out of this solution is that the $p$-wave superconductivity proximity induced into the disordered metal remains long range, decaying as slowly as the conventional $s$-wave superconductivity. It is also shown that impurity scattering leads to the appearance of a zero-energy peak." @default.
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- W2112227065 date "2015-03-30" @default.
- W2112227065 modified "2023-09-25" @default.
- W2112227065 title "Long rangep-wave proximity effect into a disordered metal" @default.
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- W2112227065 doi "https://doi.org/10.1103/physrevb.91.094518" @default.
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