Non-bosonic moiré excitons

Abstract

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.

References in corpus (42)

• Exciton Binding Energy and Nonhydrogenic Rydberg Series in Monolayer WS2
• Quantum fluids of light
• Moiré Excitons in Van der Waals Heterostructures
• Signatures of moiré-trapped valley excitons in MoSe${}_2$/WSe${}_2$ heterobilayers
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Moiré excitons: from programmable quantum emitter arrays to spin-orbit coupled artificial lattices
• Screening and Many-Body Effects in Two-Dimensional Crystals: Monolayer MoS${}_2$
• Anomalous Interlayer Exciton Diffusion in Twist-Angle-Dependent Moiré Potentials of WS${}_2$-WSe${}_2$ Heterobilayers
• Cooperative resonances in light scattering from two-dimensional atomic arrays
• Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers
• A subradiant optical mirror formed by a single structured atomic layer
• Excitons in van der Waals heterostructures: The important role of dielectric screening
• Atomic three-body loss as a dynamical three-body interaction
• Quantum Simulation with Interacting Photons
• Dilute Quantum Droplets
• The dielectric impact of layer distances on exciton and trion binding energies in van der Waals heterostructures
• Moiré quantum chemistry: charge transfer in transition metal dichalcogenide superlattices
• Correlated insulator of excitons in WSe2/WS2 moiré superlattices
• Three-Body Interacting Bosons in Free Space
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Exciton-exciton scattering: Composite boson versus elementary boson
• Quantum nonlinear optics based on two-dimensional Rydberg atom arrays
• Pair Superfluidity of Three-Body Constrained Bosons in Two Dimensions
• Statistics of excitons in quantum dots and the resulting microcavity emission spectra
• Moiré-Bose-Hubbard model for interlayer excitons in twisted transition metal dichalcogenide heterostructures
• Engineering three-body interaction and Pfaffian states in circuit QED systems
• Excitonic Mott insulator in a Bose-Fermi-Hubbard system of moiré ${\mathrm{WS}}_2$/${\mathrm{WSe}}_2$ heterobilayer
• Pfaffian-like ground state for 3-body-hard-core bosons in 1D lattices
• Microscopic origin of anomalous interlayer exciton transport in van der Waals heterostructures
• Quantum Field Theory for the Three-Body Constrained Lattice Bose Gas -- Part II: Application to the Many-Body Problem
• Moiré-induced optical non-linearities: Single and multi-photon resonances
• Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint
• Mott-moiré excitons
• Leaky exciton condensates in transition metal dichalcogenide moiré bilayers
• 3- and 4-body Interactions from 2-body interactions in Spin Models: A Route to Abelian and Non-Abelian Fractional Chern Insulators
• The strong modulation limit of excitons and trions in moiré materials
• Composite boson many-body theory for Frenkel excitons
• Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
• Confined-state physics and signs of fermionization of moiré excitons in WSe${}_2$/MoSe${}_2$ heterobilayers
• Influence of the Pauli exclusion principle on scattering properties of cobosons
• Fundamental differences between exciton and quantum dot duo
• Interplay of trapped species and absence of electron capture in Moiré heterobilayers

Cited by in corpus (7)

• Collective optical properties of moiré excitons
• Electrically tunable and enhanced nonlinearity of moiré exciton-polaritons in transition metal dichalcogenide bilayers
• AC-Stark Spectroscopy of Interactions between Moiré Excitons and Polarons
• Purely electronic model for exciton-polaron formation in moiré heterostructures
• Electrically tunable MoSe${}_2$/WSe${}_2$ heterostructure-based quantum dot
• Exciton fractional Chern insulators in moiré heterostructures
• Magnetic and nematic order of Bose-Fermi mixtures in moiré superlattices of 2D semiconductors