Quantum Phases of Transition Metal Dichalcogenide Moiré Systems

Abstract

Moiré systems provide a rich platform for studies of strong correlation physics. Recent experiments on hetero-bilayer transition metal dichalcogenide (TMD) Moiré systems are exciting in that they manifest a relatively simple model system of an extended Hubbard model on a triangular lattice. Inspired by the prospect of the hetero-TMD Moiré system's potential as a solid-state-based quantum simulator, we explore the extended Hubbard model on the triangular lattice using the density matrix renormalization group (DMRG). Specifically, we explore the two-dimensional phase space of the kinetic energy relative to the interaction strength $t/U$ and the further-range interaction strength $V_1/U$. We find competition between Fermi fluid, chiral spin liquid, spin density wave, and charge density wave. In particular, our finding of the optimal further-range interaction for the chiral correlation presents a tantalizing possibility.

Published version

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Cited by in corpus (16)

• Quantum Monte Carlo in the steady-state
• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Metal-insulator transition in transition metal dichalcogenide heterobilayer: accurate treatment of interaction
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Quantum Melting of Generalized Wigner Crystals in Transition Metal Dichalcogenide Moiré Systems
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Topological Mixed Valence Model in Magic-Angle Twisted Bilayer Graphene
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Magnetism and Metallicity in Moiré Transition Metal Dichalcogenides
• Electric field control of a quantum spin liquid in weak Mott insulators
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Continuous Wigner-Mott transition at $\nu =1/5$
• $\mathcal{N}=4$ chiral superconductivity in moiré transition metal dichalcogenides
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Multiband Quantum Materials
• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials