BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalised exclusion statistics
Exactly Solvable and Integrable Systems
2017-10-19 v1 Superconductivity
Mathematical Physics
math.MP
Abstract
We demonstrate the occurrence of free quasi-particle excitations obeying generalised exclusion statistics in a BCS model with asymmetric pair scattering. The results are derived from an exact solution of the Hamiltonian, which was obtained via the algebraic Bethe ansatz utilising the representation theory of an underlying Yangian algebra. The free quasi-particle excitations are associated to highest-weight states of the Yangian algebra, corresponding to a class of analytic solutions of the Bethe ansatz equations.
Keywords
Cite
@article{arxiv.1304.5818,
title = {BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalised exclusion statistics},
author = {Jon Links and Amir Moghaddam and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:1304.5818},
year = {2017}
}
Comments
21 pages. 1 figure, 3 tables