1997/09/30 by A. V. Shytov, A V Shytov, P. A. Lee +3 · 3 citations
Mathematics · Physics and Astronomy · #Quantum and electron transport phenomena #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #cond-mat
paper · pdf · doi:10.1070/pu1998v041n02abeh000366
published as Phys.-Usp. 41 207 (1998) · stylistic changes, bibliography corrected
arxiv created 1997/10/03 · openalex publication_date 1998/02/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We discuss localization of quasiparticles in an extended NS structure in the situation when the reflection from the NS interface is mostly of Andreev kind. The localization of quasiparticle states arises due to trajectory retracing caused by Andreev reflection. This effect is semiclassical in the sense that in the classical limit the states become fully localized, while quantum effects destroy localization behaviour. We derive the criteria for this localization and show that it takes place only for sufficiently smooth disorder with large correlation length, whereas short-range disorder destroys the effect. Localization of quasiparticle states gives rise to resonance peaks in the local tunneling density of states.