Exact correlation functions of the BCS model in the canonical ensemble
classification
❄️ cond-mat.supr-con
astro-phcond-mat.str-elhep-thmath-phmath.MPnlin.SInucl-th
keywords
correlationmodelfinitefunctionsgaudinalgebraappliedbehavior
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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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