Integrability and exact solution for coupled BCS systems associated with the $su(4)$ Lie algebra

Details Integrability and exact solution for coupled BCS systems associated with the $su(4)$ Lie algebra Integrability and exact solution for coupled BCS systems associated with the $su(4)$ Lie algebra

2002-05-07

arxiv.org/abs/cond-mat/0205124v1

Nucl. Phys. B 642 (2002) 501-514

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages

Scientific paper

We introduce an integrable model for two coupled BCS systems through a solution of the Yang-Baxter equation associated with the Lie algebra $su(4)$. By employing the algebraic Bethe ansatz, we determine the exact solution for the energy spectrum. An asymptotic analysis is conducted to determine the leading terms in the ground state energy, the gap and some one point correlation functions at zero temperature.

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