Evolution of pairing from weak to strong coupling on a honeycomb lattice

Abstract

We study the evolution of the pairing from weak to strong coupling on a honeycomb lattice by Quantum Monte Carlo. We show numerical evidence of the BCS-BEC crossover as the coupling strength increases on a honeycomb lattice with small fermi surface by measuring a wide range of observables: double occupancy, spin susceptibility, local pair correlation, and kinetic energy. Although at low energy, the model sustains Dirac fermions, we do not find significant qualitative difference in the BCS-BEC crossover as compared to those with an extended Fermi surface, except at weak coupling, BCS regime.

5 pages

References in corpus (6)

• Superconducting states of pure and doped graphene
• BCS superconductivity of Dirac electrons in graphene layers
• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Near zero modes in condensate phases of the Dirac theory on the honeycomb lattice
• Berezinskii-Kosterlitz-Thouless transition and BCS-Bose crossover in the two-dimensional attractive Hubbard model
• Comment on "BCS superconductivity of Dirac fermions in graphene layers"

Cited by in corpus (7)

• The intermediate and spin-liquid phase of the half-filled honeycomb Hubbard model
• Dynamical Cluster Quantum Monte Carlo Study of the Single Particle Spectra of Strongly Interacting Fermion Gases
• Coexistence of strong nematic and superconducting correlations in a two-dimensional Hubbard model
• Attractive Hubbard Model on a Honeycomb Lattice
• Supersolid Phase Accompanied by a Quantum Critical Point in the Intermediate Coupling Regime of the Holstein Model
• Reentrant Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in the honeycomb lattice
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries