Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains

Links, J., Zhou, H. Q., McKenzie, R. H. and Gould, M. D. (2002) Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains. International Journal of Modern Physics B, 16 23: 3429-3438. doi:10.1142/S0217979202011949


Author Links, J.
Zhou, H. Q.
McKenzie, R. H.
Gould, M. D.
Title Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains
Journal name International Journal of Modern Physics B   Check publisher's open access policy
ISSN 0217-9792
Publication date 2002-01-01
Sub-type Article (original research)
DOI 10.1142/S0217979202011949
Volume 16
Issue 23
Start page 3429
End page 3438
Total pages 10
Editor Spanjaard, D.
Place of publication Singapore
Publisher World Scientific Publishing Co. Pty Ltd
Language eng
Subject C1
230199 Mathematics not elsewhere classified
780101 Mathematical sciences
010502 Integrable Systems (Classical and Quantum)
Abstract A model is introduced for two reduced BCS systems which are coupled through the transfer of Cooper pairs between the systems. The model may thus be used in the analysis of the Josephson effect arising from pair tunneling between two strongly coupled small metallic grains. At a particular coupling strength the model is integrable and explicit results are derived for the energy spectrum, conserved operators, integrals of motion, and wave function scalar products. It is also shown that form factors can be obtained for the calculation of correlation functions. Furthermore, a connection with perturbed conformal field theory is made.
Keyword Physics, Applied
Physics, Condensed Matter
Physics, Mathematical
Bethe Ansatz
Josephson Effect
Bcs Model
Bethe-ansatz
Form-factors
Field-theory
Algebra
Q-Index Code C1

 
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Created: Wed, 15 Aug 2007, 03:06:09 EST