Emergent magnetism and spin liquids in an extended Hubbard description of moiré bilayers

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Hauptverfasser: Song, Zhenhao, Seifert, Urban F. P., Balents, Leon, Jiang, Hong-Chen
Format: Preprint
Veröffentlicht: 2025
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author Song, Zhenhao
Seifert, Urban F. P.
Balents, Leon
Jiang, Hong-Chen
author_facet Song, Zhenhao
Seifert, Urban F. P.
Balents, Leon
Jiang, Hong-Chen
contents Motivated by twisted transition metal dichalcogenides (TMDs), we study an extended Hubbard model with both on-site and off-site repulsive interactions, in which Mott insulating states with concomitant charge order occur at fractional fillings. To resolve the charge ordering as well as the fate of the local moments formed thereby, we perform large-scale density matrix renormalization group calculations on cylindrical geometries for several filling fractions and ranges of interaction strength. Depending on the precise parameter regime, both antiferromagnetically ordered as well as quantum-disordered states are found, with a particularly prominent example being a quantum spin liquid-type ground state on top of charge-ordering with effective Kagomé geometry. We discuss the different mechanisms at play in stabilizing various electronic and magnetic states. The results suggest that moiré TMDs are a promising venue for emergent quantum magnetism of strongly interacting electrons.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06339
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Emergent magnetism and spin liquids in an extended Hubbard description of moiré bilayers
Song, Zhenhao
Seifert, Urban F. P.
Balents, Leon
Jiang, Hong-Chen
Strongly Correlated Electrons
Motivated by twisted transition metal dichalcogenides (TMDs), we study an extended Hubbard model with both on-site and off-site repulsive interactions, in which Mott insulating states with concomitant charge order occur at fractional fillings. To resolve the charge ordering as well as the fate of the local moments formed thereby, we perform large-scale density matrix renormalization group calculations on cylindrical geometries for several filling fractions and ranges of interaction strength. Depending on the precise parameter regime, both antiferromagnetically ordered as well as quantum-disordered states are found, with a particularly prominent example being a quantum spin liquid-type ground state on top of charge-ordering with effective Kagomé geometry. We discuss the different mechanisms at play in stabilizing various electronic and magnetic states. The results suggest that moiré TMDs are a promising venue for emergent quantum magnetism of strongly interacting electrons.
title Emergent magnetism and spin liquids in an extended Hubbard description of moiré bilayers
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2505.06339