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Ground-state energy of a Richardson-Gaudin integrable BCS model

Yibing Shen, Phillip S. Isaac, Jon Links

SciPost Phys. Core 2, 001 (2020) · published 4 February 2020


We investigate the ground-state energy of a Richardson-Gaudin integrable BCS model, generalizing the closed and open p+ip models. The Hamiltonian supports a family of mutually commuting conserved operators satisfying quadratic relations. From the eigenvalues of the conserved operators we derive, in the continuum limit, an integral equation for which a solution corresponding to the ground state is established. The energy expression from this solution agrees with the BCS mean-field result.

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Richardson model

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