The BCS model and the off shell Bethe ansatz for vertex models
Statistical Mechanics
2009-10-31 v2 Superconductivity
High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study the connection between the BCS pairing model and the inhomogeneous vertex model. The two spectral problems coincide in the quasi-classical limit of the off-shell Bethe Ansatz of the disordered six vertex model. The latter problem is transformed into an auxiliary spectral problem which corresponds to the diagonalization of the integrals of motion of the BCS model. A generating functional whose quasi classical expansion leads to the constants of motion of the BCS model and in particular the Hamiltonian, is identified.
Keywords
Cite
@article{arxiv.cond-mat/0010349,
title = {The BCS model and the off shell Bethe ansatz for vertex models},
author = {Luigi Amico and G. Falci and Rosario Fazio},
journal= {arXiv preprint arXiv:cond-mat/0010349},
year = {2009}
}
Comments
10 pages, 1 figure. To be published in J. Phys. A