Quantum Monte Carlo study of superconductivity in rhombohedral trilayer graphene under an electric field

Abstract

By using the constrained-phase quantum Monte Carlo method, we performed a systematic study of the ground state of the half filled Hubbard model for a trilayer honeycomb lattice. We analyze the effect of the perpendicular electric field on the electronic structure, magnetic property and pairing correlations. It is found that the antiferromagnetism is suppressed by the perpendicular electric field, especially the long-range parts, and the dominant magnetic fluctuations are still antiferromagnetic. The electronic correlation drives a $d+id$ superconducting pairing to be dominant over other pairing patterns among various electric fields and interaction strengths. We also found that the $d+id$ pairing correlation is greatly enhanced as the on-site Coulomb interaction is increased. Our intensive numerical results may unveil the nature of the recently observed superconductivity in rhombohedral trilayer graphene under an electric field.

8 pages and 11 figures, accepted for publication as a Regular Article in Physical Review B

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• Charge fluctuations, phonons and superconductivity in multilayer graphene
• Spin and Charge Fluctuation Induced Pairing in ABCB Tetralayer Graphene
• Incommensurate inter-valley coherent states in ABC graphene: collective modes and superconductivity
• Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
• Pairing correlation of the Kagome-lattice Hubbard model with the nearest-neighbor interaction
• In-Depth Investigation of Phase Transition Phenomena in Network Models Derived from Lattice Models
• Pair density wave in quarter metals from a repulsive fermionic interaction in graphene heterostructures: A renormalization group study
• Charge density waves and stripes in quarter metals of graphene heterostructures
• Exotic Topological Phenomena in Chiral Superconducting States on Doped Quantum Spin Hall Insulators with Honeycomb Lattices
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene
• Tuning superconducting pairing symmetry via a staggered potential in the doped honeycomb Hubbard model
• Dual role of stripe phase on superconducting correlation in a bilayer square lattice