Non-bosonic moiré excitons

Optical excitations in moiré transition metal dichalcogenide bilayers lead to the creation of excitons, as electron-hole bound states, that are generically considered within a Bose-Hubbard framework. Here, we demonstrate that these composite particles obey an angular momentum commutation relation th...

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Bibliographic Details
Main Authors Huang, Tsung-Sheng, Lunts, Peter, Hafezi, Mohammad
Format Journal Article
LanguageEnglish
Published 30.10.2023
Subjects
Physics - Materials Science
Physics - Mesoscale and Nanoscale Physics
Physics - Quantum Physics
Physics - Strongly Correlated Electrons
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Summary:Optical excitations in moiré transition metal dichalcogenide bilayers lead to the creation of excitons, as electron-hole bound states, that are generically considered within a Bose-Hubbard framework. Here, we demonstrate that these composite particles obey an angular momentum commutation relation that is generally non-bosonic. This emergent spin description of excitons indicates a limitation to their occupancy on each site, which is substantial in the weak electron-hole binding regime. The effective exciton theory is accordingly a spin Hamiltonian, which further becomes a Hubbard model of emergent bosons subject to an occupancy constraint after a Holstein-Primakoff transformation. We apply our theory to three commonly studied bilayers (MoSe2/WSe2, WSe2/WS2, and WSe2/MoS2) and show that in the relevant parameter regimes their allowed occupancies never exceed three excitons. Our systematic theory provides guidelines for future research on the many-body physics of moiré excitons.
DOI:10.48550/arxiv.2310.19931