Recent experiments have established that semiconductor-based moir\'e materials can host incompressible states at a series of fractional moir\'e-miniband fillings. These states have been identified as generalized Wigner crystals in which electrons localize on a subset of the available triangular-lattice moir\'e 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 ν = 1/3 and ν = 2/3.
@article{arxiv.2210.15168,
title = {Magnetism and Quantum Melting in Moir\'e-Material Wigner Crystals},
author = {Nicolás Morales-Durán and Pawel Potasz and Allan H. MacDonald},
journal= {arXiv preprint arXiv:2210.15168},
year = {2023}
}