Ground-state energy of a Richardson-Gaudin integrable BCS model
arXiv:1912.05692 · doi:10.21468/SciPostPhysCore.2.1.001
Abstract
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.
Submission to SciPost, 17 pages, no figures. This version is a minor modification, in response to referee comments
References in corpus (4)
- Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence
- An eigenvalue-based method and determinant representations for general integrable XXZ Richardson-Gaudin models
- On the determinant representations of Gaudin models' scalar products and form factors
- Inner products in integrable Richardson-Gaudin models