Ground-state energy of a Richardson-Gaudin integrable BCS model
Exactly Solvable and Integrable Systems
2020-02-20 v2 Superconductivity
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.
Keywords
Cite
@article{arxiv.1912.05692,
title = {Ground-state energy of a Richardson-Gaudin integrable BCS model},
author = {Yibing Shen and Phillip S. Isaac and Jon Links},
journal= {arXiv preprint arXiv:1912.05692},
year = {2020}
}
Comments
Submission to SciPost, 17 pages, no figures. This version is a minor modification, in response to referee comments