Research paperTheoreticalComputational Kinetic ModelNon-bosonic moiré excitonsTsung-Sheng Huang, Peter Lunts, Mohammad Hafezi2023·10.1038/s41567-023-02077-5·arXiv:2310.19931AbstractOptical 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.Read more
Moiré bilayer system MoSe₂/WSe₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedMoSe₂Studied MaterialWSe₂Studied MaterialExpand
Moiré bilayer system WSe₂/WS₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedWSe₂Studied MaterialWS₂Studied MaterialExpand
Moiré bilayer system WSe₂/MoS₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedWSe₂Studied MaterialMoS₂Studied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelNon-bosonic moiré excitonsTsung-Sheng Huang, Peter Lunts, Mohammad Hafezi2023·10.1038/s41567-023-02077-5·arXiv:2310.19931AbstractOptical 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.Read more
Moiré bilayer system MoSe₂/WSe₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedMoSe₂Studied MaterialWSe₂Studied MaterialExpand
Moiré bilayer system WSe₂/WS₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedWSe₂Studied MaterialWS₂Studied MaterialExpand
Moiré bilayer system WSe₂/MoS₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedWSe₂Studied MaterialMoS₂Studied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelNon-bosonic moiré excitonsTsung-Sheng Huang, Peter Lunts, Mohammad Hafezi2023·10.1038/s41567-023-02077-5·arXiv:2310.19931AbstractOptical 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.Read more
Moiré bilayer system MoSe₂/WSe₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedMoSe₂Studied MaterialWSe₂Studied MaterialExpand
Moiré bilayer system WSe₂/WS₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedWSe₂Studied MaterialWS₂Studied MaterialExpand
Moiré bilayer system WSe₂/MoS₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedWSe₂Studied MaterialMoS₂Studied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelNon-bosonic moiré excitonsTsung-Sheng Huang, Peter Lunts, Mohammad Hafezi2023·10.1038/s41567-023-02077-5·arXiv:2310.19931AbstractOptical 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.Read more
Moiré bilayer system MoSe₂/WSe₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedMoSe₂Studied MaterialWSe₂Studied MaterialExpand
Moiré bilayer system WSe₂/WS₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedWSe₂Studied MaterialWS₂Studied MaterialExpand
Moiré bilayer system WSe₂/MoS₂ studied in the analytical exciton-statistics model.2 propertiesSimulatedWSe₂Studied MaterialMoS₂Studied MaterialExpand
