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Quantum Melting of Generalized Wigner Crystals in Transition Metal Dichalcogenide Moir\'e Systems. (arXiv:2312.03828v1 [cond-mat.str-el])

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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{\'e}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.

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