Exotic Superconductivity in the Extended Attractive Hubbard Model

Abstract

We show that the extended attractive Hubbard model on a square lattice hosts a variety of superconducting phases, including exotic mixed-symmetry phases with $d_{x^2-y^2}+\mathrm{i}[s+d_{x^2+y^2}]$ and $d_{x^2-y^2}+p_x$ symmetries, and a novel $p_x+\mathrm{i}{p}_y$ state. The calculations are performed within the mean-field Bogoliubov-deGennes (BdG) framework. The ground states of the BdG Hamiltonian are obtained via a minimization scheme that does not impose symmetry constraints on the superconducting solutions, hence allowing a mixing of $s$-, $p$- and $d$-wave order parameters. Our results show that extended attractive Hubbard model can serve as an effective model for investigating properties of exotic superconducting states.

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Cited by in corpus (6)

• Superconducting Phases of the Square-Lattice Extended Hubbard Model
• Revisiting superconductivity in the extended one-band Hubbard model: pairing via spin and charge fluctuations
• Stable pair liquid phase in fermionic systems
• Mixed temperature-dependent order parameters in the extended Hubbard model
• Topological Transitions in a Model for Proximity Induced Superconductivity
• Pairing symmetries in the Zeeman-coupled extended attractive Hubbard model