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Title: Andreev bound states. Some quasiclassical reflections

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.
Authors:
;  [1]
  1. University of Illinois at Urhana-Champaign, Dept. of Physics (United States)
Publication Date:
OSTI Identifier:
22472482
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 119; Journal Issue: 6; Other Information: Copyright (c) 2014 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AMPLITUDES; BCS THEORY; BOUND STATE; CONTINUITY EQUATIONS; EXACT SOLUTIONS; GROUND STATES; REFLECTION; RESOLUTION; S WAVES; SUPERFLUIDITY; TRAPPING; TRAPS; ZEEMAN EFFECT