Quantum Melting of Generalized Wigner Crystals in Transition Metal Dichalcogenide Moiré Systems

Abstract

Generalized Wigner Crystal (GWC) is a novel quantum phase of matter driven by further-range interaction at fractional fillings of a lattice. The role of further range interaction as the driver for the incompressible state is akin to Wigner crystal. On the other hand, the significant role of commensurate filling is akin to the Mott insulator. Recent progress in simulator platforms presents unprecedented opportunities to investigate quantum melting in the strongly interacting regime through synergy between theory and experiments. However, the earlier theory literature presents diverging predictions. We study the quantum freezing of GWC through large-scale density matrix renormalization group simulations of a triangular lattice extended Hubbard model. We find a single first-order phase transition between the Fermi liquid and the $\sqrt{3}\times \sqrt{3}$ GWC state. The GWC state shows long-range antiferromagnetic $120^{\circ }$ N{é}el order. Our results present the simplest answers to the question of the quantum phase transition into the GWC phase and the properties of the GWC phase.

5 pages, 6 figures

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Cited by in corpus (9)

• Fractionalization as an alternate to charge ordering in electronic insulators
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Quantum melting of generalized electron crystal in twisted bilayer MoSe2
• Origin and stability of generalized Wigner crystallinity in triangular moiré systems
• Moiré excitons in generalized Wigner crystals
• Magnetism from multiparticle ring exchange in moiré Wigner crystals
• Striped Spin Density Wave in a Graphene/Black Phosphorous Heterostructure
• Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo
• Quantum melting a Wigner crystal into Hall liquids