Integrability and duality in spin chains – Archive ouverte HAL

Eyzo StoutenPieter W. ClaeysJean-Sébastien CauxVladimir Gritsev 1

Eyzo Stouten, Pieter W. Claeys, Jean-Sébastien Caux, Vladimir Gritsev. Integrability and duality in spin chains. Phys.Rev.B, 2019, 99 (7), pp.075111. ⟨10.1103/PhysRevB.99.075111⟩. ⟨hal-03171537⟩

We construct a two-parametric family of integrable models and reveal their underlying duality symmetry. A modular subgroup of this duality is shown to connect noninteracting modes of different models. We apply this solution and duality to a Richardson-Gaudin model and generate a novel integrable system termed the s-d wave Richardson-Gaudin-Kitaev interacting chain, interpolating s- and d-wave superconductivity. The phase diagram of this interacting model has a topological phase transition that can be connected to the duality, where the occupancy of the noninteracting mode serves as a topological order parameter.

  • 1. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques