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

X. W. Guan; A. Foerster; J. Links; H. Q. Zhou

doi:10.1016/S0550-3213(02)00776-9

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

X. W. Guan^*, A. Foerster, J. Links, H. Q. Zhou

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	501-514
Number of pages	14
Journal	Nuclear Physics B
Volume	642
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(02)00776-9
Publication status	Published - 28 Oct 2002
Externally published	Yes

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abstract = "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.",

keywords = "BCS model, Cooper pair, Ground state, Quantum R-matrix",

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AU - Guan, X. W.

AU - Foerster, A.

AU - Links, J.

AU - Zhou, H. Q.

PY - 2002/10/28

Y1 - 2002/10/28

N2 - 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.

AB - 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.

KW - BCS model

KW - Cooper pair

KW - Ground state

KW - Quantum R-matrix

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U2 - 10.1016/S0550-3213(02)00776-9

DO - 10.1016/S0550-3213(02)00776-9

M3 - Article

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VL - 642

SP - 501

EP - 514

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

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

Abstract

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