Solvable 2D superconductors with l-wave pairing
arXiv:1709.08576 · doi:10.1103/PhysRevB.98.144504
Abstract
We analyze a family of two-dimensional BCS Hamiltonians with general l-wave pairing interactions, classifying the models in this family that are Bethe-ansatz solvable in the finite-size regime. We show that these solutions are characterized by nontrivial winding numbers, associated with topological phases, in some part of the corresponding phase diagrams. By means of a comparative study, we demonstrate benefits and limitations of the mean-field approximation, which is the standard approach in the limit of a large number of particles. The mean-field analysis also allows to extend part of the results beyond integrability, clarifying the peculiarities associable with the integrability itself.
9 pages, 1 figure
References in corpus (12)
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Color superconductivity in dense quark matter
- An exactly solvable model of the BCS-BEC crossover
- First order character and observable signatures of topological quantum phase transitions
- Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
- Long-range topological insulators and weakened bulk-boundary correspondence
- Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices
- Screening Clouds and Majorana Fermions
- Edge insulating topological phases in a two-dimensional long-range superconductor
- Collective Modes and f-wave Pairing Interactions in Superfluid 3He
- Equivalence between XY and dimerized models
- Quantum gas of polar molecules ensembles at ultralow temperatures: f-wave superfluids