Andreev bound states. Some quasiclassical reflections

Research output: Contribution to journalArticle

Abstract

We discuss a very simple and essentially exactly solvable model problem which illustrates some nice features of Andreev bound states, namely, the trapping of a single Bogoliubov quasiparticle in a neutral s-wave BCS superfluid by a wide and shallow Zeeman trap. In the quasiclassical limit, the ground state is a doublet with a splitting which is proportional to the exponentially small amplitude for “normal” reflection by the edges of the trap. We comment briefly on a prima facie paradox concerning the continuity equation and conjecture a resolution to it.

Original languageEnglish (US)
Pages (from-to)1034-1041
Number of pages8
JournalJournal of Experimental and Theoretical Physics
Volume119
Issue number6
DOIs
StatePublished - Jan 1 2014

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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