Long rangep-wave proximity effect into a disordered metal
| Autor: | Valentin Stanev, Aydin Cem Keser, Victor Galitski |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Superconductivity
Physics Range (particle radiation) Strongly Correlated Electrons (cond-mat.str-el) Condensed matter physics Condensed Matter - Superconductivity P wave FOS: Physical sciences Fermion Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Condensed Matter Physics Electronic Optical and Magnetic Materials Superconductivity (cond-mat.supr-con) Condensed Matter - Strongly Correlated Electrons Condensed Matter::Materials Science MAJORANA Condensed Matter::Superconductivity Quantum mechanics Proximity effect (superconductivity) |
| Zdroj: | Physical Review B. 91 |
| ISSN: | 1550-235X 1098-0121 |
| DOI: | 10.1103/physrevb.91.094518 |
| Popis: | We use quasiclassical methods of superconductivity to study the superconducting proximity effect from a topological $p$-wave superconductor into a disordered one-dimensional metallic wire. We demonstrate that the corresponding Eilenberger equations with disorder reduce to a closed non-linear 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 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. 6 pages, 4 figures |
| Databáze: | OpenAIRE |
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