Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe${}_2$

Abstract

The ideal honeycomb lattice, featuring sublattice and SU(2) spin rotation symmetries, is a fundamental model for investigating quantum matters with topology and correlations. With the rise of the moiré-based design of model systems, realizing a tunable and symmetric honeycomb lattice system with a narrow bandwidth can open access to new phases and insights. We propose the ABBA-stacked twisted double bilayer WSe${}_2$ as a realistic and tunable platform for reaching this goal. Adjusting the twist angle allows the bandwidth and the ratio between hopping parameters of different ranges to be tuned. Moreover, the system's small bandwidth and spin rotation symmetry enable effective control of the electronic structure through an in-plane magnetic field. We construct an extended Hubbard model for the system to demonstrate this tunability and explore possible ordered phases using the Hartree-Fock approximation. We find that at a hole filling of $\nu =2$ (two holes per moiré unit cell), an in-plane magnetic field of a few Tesla can ``dope" the system from a semimetal to a metal. Interactions then drive an instability towards a canted antiferromagnetic insulator ground state. Additionally, we observe a competing insulating phase with sublattice charge polarization. Finally, we discuss the experimental signatures of these novel insulating phases.

10 pages, 4 figures

References in corpus (13)

• Topological Mott Insulators
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Quantum anomalous Hall effect from intertwined moiré bands
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Density waves and Cooper pairing on the honeycomb lattice
• Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
• $\Gamma$-Valley Transition-Metal-Dichalcogenide Moirè Bands
• Electronic structures, charge transfer and charge orders in twisted transition metal dichalcogenide bilayers
• Valley-Polarized Quantum Anomalous Hall State in Moiré MoTe${}_2$/WSe${}_2$ Heterobilayers
• Excitonic and valleytronic signatures of correlated states at fractional fillings of a moiré superlattice
• Observation of flat $\Gamma$ moiré bands in twisted bilayer WSe${}_2$
• Tunable spin and valley excitations of correlated insulators in $\Gamma$-valley moiré bands
• Magnetic field induced semimetal-to-canted-antiferromagnet transition on the honeycomb lattice

Cited by in corpus (7)

• Relativistic Mott transitions and finite-temperature effects of quantum criticality in Dirac semimetals
• Tuning flat bands by interlayer interaction, spin-orbital coupling, and external fields in twisted homotrilayer MoS${}_2$
• Ferromagnetic semimetal and charge-density wave phases of interacting electrons in a honeycomb moiré potential
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Superconductivity of Incoherent Electrons near the Relativistic Mott Transition in Twisted Dirac Materials
• Dirac quantum criticality in twisted double bilayer transition metal dichalcogenides
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$