Exact correlation functions of the BCS model in the canonical ensemble

Details Exact correlation functions of the BCS model in the canonical ensemble Exact correlation functions of the BCS model in the canonical ensemble

2001-05-07

arxiv.org/abs/cond-mat/0105141v2

Phys.Rev.Lett. 88 (2002) 127003

Physics

Condensed Matter

Superconductivity

4 pages revtex; 2 figures .eps. Revised version to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.88.127003

We evaluate correlation functions of the BCS model for finite number of particles. The integrability of the Hamiltonian relates it with the Gaudin algebra ${\cal G}[sl(2)]$. Therefore, a theorem that Sklyanin proved for the Gaudin model, can be applied. Several diagonal and off-diagonal correlators are calculated. The finite size scaling behavior of the pairing correlation function is studied.

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