Magnetism and Quantum Melting in Moiré-Material Wigner Crystals

Abstract

Recent experiments have established that semiconductor-based moiré materials can host incompressible states at a series of fractional moiré-miniband fillings. These states have been identified as generalized Wigner crystals in which electrons localize on a subset of the available triangular-lattice moiré superlattice sites. In this article, we use momentum-space exact diagonalization to investigate the many-body ground state evolution at rational fillings from the weak-hopping classical lattice gas limit, in which only spin degrees-of-freedom are active at low energies, to the strong-hopping metallic regime where the Wigner crystals melt. We specifically address the nature of the magnetic ground states of the generalized Wigner crystals at fillings $\nu$ = 1/3 and $\nu$ = 2/3.

arXiv comment12 pages, 8 figures

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Cited by in corpus (19)

• Frustrated magnetic interactions in a Wigner-Mott insulator
• Topological electronic crystals in twisted bilayer-trilayer graphene
• Quantum Wigner molecules in moiré materials
• Quantum Melting of Generalized Wigner Crystals in Transition Metal Dichalcogenide Moiré Systems
• Probing magnetism in moiré heterostructures with quantum twisting microscopes
• Competing Generalized Wigner Crystal States in Moiré Heterostructures
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• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
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• Electronic phonon-induced magnetism in moiré Mott-Wigner crystals