Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model

Abstract

The moiré Hubbard model describes correlations in certain homobilayer twisted transition metal dichalcogenides. Using exact diagonalization and density matrix renormalization group methods, we find magnetic Mott insulating and metallic phases, which, upon doping exhibit intertwined charge and spin ordering and, in some regimes, pair binding of holes. The phases are highly tunable via an interlayer potential difference. Remarkably, the hole binding energy is found to be highly tunable revealing an experimentally accessible regime where holes become attractive. In this attractive regime, we study the superconducting correlation function and point out the possibility of weak superconductivity.

9 pages, 9 figures

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• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Switching between Mott-Hubbard and Hund physics in moiré quantum simulators
• Chiral and nodal superconductors in t-J model with valley contrasting flux on triangular moiré lattice
• Intrinsically-multilayer moiré heterostructures
• Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory
• Approximate symmetries, insulators, and superconductivity in continuum-model description of twisted WSe${}_2$
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Fragmented superconductivity in the Hubbard model as solitons in Ginzburg-Landau theory
• Site-selective insulating phase in twisted bilayer Hubbard model
• Magnetism and Metallicity in Moiré Transition Metal Dichalcogenides
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Network of chiral one-dimensional channels and localized states emerging in a moiré system
• In-plane magnetic field-induced orbital FFLO superconductivity in twisted WSe${}_2$ homobilayers
• Striped Spin Density Wave in a Graphene/Black Phosphorous Heterostructure
• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Pseudogap in the lightly hole-doped triangular-lattice moiré Hubbard model
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides