Richardson-Gaudin models: the hyperbolic family

We show that the hyperbolic family of Richardson-Gaudin models could describe p-wave superfluids in two dimensional lattices. The analysis of the exact solution reveals an exotic phase diagram with a third order quantum phase transition. Moreover, we propose a separable integrable pairing Hamiltonian within the same family that could be useful to describe exactly superconductivity in heavy nuclei.We acknowledge support from a Marie Curie Action of the European Community Project No. 220335 and the Spanish Ministry for Science and Innovation Project No. FIS2009-07277Peer Reviewe

Richardson-Gaudin models: the hyperbolic family

We show that the hyperbolic family of Richardson-Gaudin models could describe p-wave superfluids in two dimensional lattices. The analysis of the exact solution reveals an exotic phase diagram with a third order quantum phase transition. Moreover, we propose a separable integrable pairing Hamiltonian within the same family that could be useful to describe exactly superconductivity in heavy nuclei.We acknowledge support from a Marie Curie Action of the European Community Project No. 220335 and the Spanish Ministry for Science and Innovation Project No. FIS2009-07277Peer Reviewe