BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalised exclusion statistics

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.

21 pages. 1 figure, 3 tables

References in corpus (6)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Integrability of the russian doll BCS model
• Cooper pairs and exclusion statistics from coupled free-fermion chains
• The elementary excitations of the exactly solvable Russian doll BCS model of superconductivity
• Deconfined quantum criticality and generalised exclusion statistics in a non-hermitian BCS model