Mott insulating state and $d+id$ superconductivity in an ABC graphene trilayer

Abstract

Motivated by the recently experimental reported signatures of the tunable Mott insulating state and superconductivity in an ABC graphene trilayer superlattice, we investigate the charge compressibility, the spin correlation, and the superconducting instability within the Hubbard model on a three-layer honeycomb lattice. It is found that an antiferromagnetically ordered Mott insulator emerges beyond a critical $U_c$ at half-filling, and the electronic correlation drives a $d+id$ superconducting pairing to be dominant over other pairing patterns in a wide doped region. The effective pairing interaction with $d+id$ pairing symmetry is strongly enhanced with the increasing of on-site interaction, and suppressed as the interlayer coupling strength increases. Our intensive numerical results demonstrate that the insulating state and superconductivity in an ABC graphene trilayer are driven by strong electric correlation, and it may offer an attractive systems to explore rich correlated behaviors.

arXiv comment6 pages and 5 figures. Published version

References in corpus (44)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Electronic transport in two dimensional graphene
• Tuning superconductivity in twisted bilayer graphene
• Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
• Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Observation of an electrically tunable band gap in trilayer graphene
• Evidence of Gate-Tunable Mott Insulator in Trilayer Graphene-Boron Nitride Moiré Superlattice
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Stacking-Dependent Band Gap and Quantum Transport in Trilayer Graphene
• Topological Superconductivity in Twisted Multilayer Graphene
• Band Structure of ABC-Stacked Graphene Trilayers
• Nearly Flat Chern Bands in Moiré Superlattices
• Dependence of band structures on stacking and field in layered graphene
• Tuneable electronic properties in graphene
• Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
• Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
• Interlayer screening effect in graphene multilayers with ABA and ABC stacking
• Deviations from Fermi-liquid behavior above $T_c$ in 2D short coherence length superconductors
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• Ferromagnetism in narrow bands of moiré superlattices
• Gate-Tunable Topological Flat Bands in Trilayer Graphene-Boron Nitride Moiré Superlattices
• Ground state and finite temperature signatures of quantum phase transitions in the half-filled Hubbard model on a honeycomb lattice
• Antiferromagnetically ordered Mott insulator and $d+id$ superconductivity in twisted bilayer graphene: A quantum Monte carlo study
• Signatures of Spin and Charge Energy Scales in the Local Moment and Specific Heat of the Two-Dimensional Hubbard Model
• Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
• Bridging Hubbard Model Physics and Quantum Hall Physics in Trilayer Graphene/h-BN moiré superlattice
• Pairing in graphene: A quantum Monte Carlo study
• Conducting phase in the two-dimensional disordered Hubbard model
• Possible Triplet $p+ip$ Superconductivity in Graphene at Low Filling
• Multilayer graphene under vertical electric field
• Interaction-tuned Anderson versus Mott localization
• Quantum Monte Carlo Study of Pairing Symmetry and Correlation in Iron-based Superconductors
• The Semimetal-Mott Insulator Quantum Phase Transition of the Hubbard Model on the Honeycomb Lattice
• A correlated Anderson insulator on the honeycomb lattice
• Numerical evidence of conformal phase transition in graphene with long-range interactions
• Metal-insulator transition and dominant $d+id$ pairing symmetry in twisted bilayer graphene
• Correlation Effects in the Triangular Lattice Single-band System Li_xNbO_2
• Triplet $p+ip$ paring correlation in doped Kane-Mele-Hubbard model: A quantum Monte Carlo study
• Superconductivity in twisted multilayer graphene: a smoking gun in recent condensed matter physics
• Intermediate Phase in Interacting Dirac Fermions with Staggered Potential

Cited by in corpus (17)

• Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
• Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene
• Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Unconventional superconductivity due to interband polarization
• Theoretical methods for excitonic physics in two-dimensional materials
• Superconductivity induced by the inter-valley Coulomb scattering in a few layers of graphene
• Charge fluctuations, phonons and superconductivity in multilayer graphene
• Quantum Monte Carlo study of superconductivity in rhombohedral trilayer graphene under an electric field
• Superconductivity and magnetism in the surface states of ABC-stacked multilayer graphene
• Spin triplet superconducting pairing in doped MoS${}_2$
• Disorder-dependent superconducting pairing symmetry in doped graphene
• Optical conductivity as a probe of the interaction-driven metal in rhombohedral trilayer graphene
• An intermediate phase induced by dilution in a correlated Dirac Fermi system
• Competition between $d$-wave and $d$+$is$-wave superconductivity in the Hubbard model on a checkerboard lattice
• Magnetic fluctuation and dominant superconducting pairing symmetry near the tunable Van Hove singularity
• Median-point approximation and its application for the study of fermionic systems