Non-bosonic moir\'e excitons
- URL: http://arxiv.org/abs/2310.19931v3
- Date: Mon, 6 Nov 2023 15:06:11 GMT
- Title: Non-bosonic moir\'e excitons
- Authors: Tsung-Sheng Huang, Peter Lunts, Mohammad Hafezi
- Abstract summary: We show that excitons 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.
Our systematic theory provides guidelines for future research on the many-body physics of moir'e excitons.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Optical excitations in moir\'e 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
moir\'e excitons.
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