Rydberg series of dark excitons and the conduction band spin-orbit splitting in monolayer WSe${}_2$

Abstract

Strong Coulomb correlations together with multi-valley electronic bands in the presence of spin-orbit interaction and possible new optoelectronic applications are at the heart of studies of the rich physics of excitons in semiconductor structures made of monolayers of transition metal dichalcogenides (TMD). In intrinsic TMD monolayers the basic, intravalley excitons are formed by a hole from the top of the valence band and an electron either from the lower or upper spin-orbit-split conduction band subbands: one of these excitons is optically active, the second one is "dark", although possibly observed under special conditions. Here we demonstrate the s-series of Rydberg dark exciton states in monolayer WSe${}_2$, which appears in addition to a conventional bright exciton series in photoluminescence spectra measured in high in-plane magnetic fields. The comparison of energy ladders of bright and dark Rydberg excitons is shown to be a method to experimentally evaluate one of the missing band parameters in TMD monolayers: the amplitude of the spin-orbit splitting of the conduction band.

arXiv commentManuscript: 9 pages, 4 figures; SM: 3 pages, 2 figures

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• Ultrafast valley-selective coherent optical manipulation with excitons in WSe${}_2$ and MoS${}_2$ monolayers
• Many-body exciton and inter-valley correlations in heavily electron-doped WSe${}_2$ monolayers
• Exciton spectrum in atomically thin monolayers: The role of hBN encapsulation
• The effect of dielectric environment on the brightening of neutral and charged dark excitons in WSe${}_2$ monolayer
• Intervalley electron-hole exchange interaction and impurity-assisted recombination of indirect excitons in WS${}_2$ and WSe${}_2$ monolayers
• Charge-carrier complexes in monolayer semiconductors
• Electron energy-loss spectrum and exciton band structure of ${\mathrm{WSe}}_2$ monolayer studied by ab initio Bethe-Salpeter equation calculations
• Dark exciton energy splitting in monolayer WSe2: insights from time-dependent density-functional theory
• Ten-valley excitonic complexes in charge-tunable monolayer WSe${}_2$
• Component exchange theory of trions
• Exchange-enhanced spin-orbit splitting and its density dependence for electrons in monolayer transition metal dichalcogenides
• High Temperature Quantum Emission from Covalently Functionalized van der Waals Heterostructures
• Energy shifts and broadening of excitonic resonances in electrostatically-doped semiconductors
• Extremely high excitonic $g$-factors in 2D crystals by alloy-induced admixing of band states
• Rydberg series of intralayer K-excitons in WSe${}_2$ multilayers
• Optical response of WSe${}_2$-based vertical tunneling junction
• Brightening interlayer excitons by electric-field-driven hole transfer in bilayer WSe2