Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory

Abstract

In this work, we study a slave-rotor mean-field theory of an extended Hubbard model, applicable to transition metal dichalcogenide moiré systems, that captures both the formation of Wigner crystals as well as exotic spin states on top of these charge backgrounds. Phase diagrams are mapped out for different choices of long-range Coulomb repulsion strength, reproducing several experimentally found Wigner crystal states. Assuming unbroken time reversal symmetry, we find several spin liquid states as well as dimer states at fractional fillings. While spin dimer states are always found to have the lowest mean field energy, several spin liquid states are energetically competitive and may be stabilized by including gauge fluctuations or further interaction terms. We further discuss possible experimental signatures of these states pertinent to two-dimensional moiré heterostructures.

arXiv comment17 pages, 12 figures

References in corpus (46)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Quantum Spin Liquids
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Quantum Spin Liquids
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Magic continuum in twisted bilayer WSe2
• Quantum Orders and Symmetric Spin Liquids
• Probing magnetism in 2D van der Waals crystalline insulators via electron tunneling
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Moiré heterostructures as a condensed matter quantum simulator
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Band touching from real space topology in frustrated hopping models
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Dirac, Anderson, and Goldstone on the Kagome
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• Z2 spin liquid in S=1/2 Heisenberg model on Kagome lattice: A projective symmetry group study of Schwinger-fermion mean-field states
• Quantum Phase Diagram of a Moiré-Hubbard Model
• Schwinger Boson Mean Field Theories of Spin Liquid States on Honeycomb Lattice: Projective Symmetry Group Analysis and Critical Field Theory
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Tunneling spectroscopy of quantum spin liquids
• Charge-order-enhanced capacitance in semiconductor moiré superlattices
• Chiral spin liquid on kagome antiferromagnet induced by Dzyaloshinskii-Moriya interaction
• Frustrated magnetic interactions in a Wigner-Mott insulator
• Symmetric $Z_2$ spin liquids and their neighboring phases on triangular lattice
• Bootstrapping $N_f=4$ conformal QED${}_3$
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers

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