Pairing and chiral spin density wave instabilities on the honeycomb lattice: a comparative quantum Monte Carlo study

Abstract

Using finite-temperature determinantal quantum Monte Carlo calculations, we re-examine the pairing susceptibilities in the Hubbard model on the honeycomb lattice, focusing on doping levels onto and away from the van Hove singularity (VHS) filling. For this purpose, electronic densities of $0.75$ (at the hole-doping VHS) and $0.4$ (well below the VHS) are considered in detail, where due to a severe sign problem at strong coupling strengths, we focus on the weak interaction region of the Hubbard model Hamiltonian. From analyzing the temperature dependence of pairing susceptibilities in various symmetry channels, we find the singlet $d$+$id$-wave to be the dominant pairing channel both at and away from the VHS filling. We furthermore investigate the electronic susceptibility to a specific chiral spin density wave (SDW) order, which we find to be similarly relevant at the VHS, while it extenuates upon doping away from the VHS filling.

8 pages, 14 figures. Accepted by PRB. Two figures added, more lattice sizes studied

References in corpus (10)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Controlling electron-phonon interactions in graphene at ultra high carrier densities
• Interactions and phase transitions on graphene's honeycomb lattice
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Density waves and Cooper pairing on the honeycomb lattice
• Kohn-Luttinger superconductivity in graphene
• Geometry Dependence of the Sign Problem
• Pomeranchuk instability in doped graphene
• Generalized Pomeranchuk instabilities in graphene

Cited by in corpus (14)

• Lefschetz thimbles decomposition for the Hubbard model on the hexagonal lattice
• Loop currents and anomalous Hall effect from time-reversal symmetry-breaking superconductivity on the honeycomb lattice
• Magnetism and charge order in the honeycomb lattice
• Quantum Monte Carlo study of superconductivity in rhombohedral trilayer graphene under an electric field
• Competing electronic orders on a heavily doped honeycomb lattice with enhanced exchange coupling
• Competing orders in the honeycomb lattice $t$-$J$ model
• Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
• Bond-ordered states and $f$-wave pairing of spinless fermions on the honeycomb lattice
• Inducing chiral superconductivity on honeycomb lattice systems
• The extended Hubbard model on a honeycomb lattice
• Consistent combination of truncated-unity functional renormalization group and mean-field theory
• Quantum Monte Carlo study of magnetism and chiral d+id-wave superconductivity in twisted bilayer graphene
• Pairing phase diagram for electron-doped cuprates in the square-lattice $t-U-V$ Hubbard model
• Spin bond order driven by extended repulsive interactions in doped graphene