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

Zhou, Yiqing; Sheng, D. N.; Kim, Eun-Ah

doi:10.1103/PhysRevLett.133.156501

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

Journal Article · Mon Oct 07 00:00:00 EDT 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.133.156501· OSTI ID:2965133

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Cornell University, Ithaca, NY (United States)
California State University, Northridge, CA (United States)
Cornell University, Ithaca, NY (United States); Ewha Womans University, Seoul (South Korea)

The 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 the 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 √3×√3 GWC state. Furthermore, the GWC state shows long-range antiferromagnetic 120° Néel 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.

View Accepted Manuscript (DOE)

Research Organization:: California State University, Northridge, CA (United States)

Sponsoring Organization:: Gordon and Betty Moore Foundation’s EPiQS Initiative; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-06ER46305

OSTI ID:: 2965133

Alternate ID(s):: OSTI ID: 2473764

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 133; ISSN 1079-7114; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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