Calculation of the nonlinear response functions of intra-exciton transitions in two-dimensional transition metal dichalcogenides

Abstract

In this paper, we study the third-order nonlinear optical response due to transitions between excitonic levels in two-dimensional transition metal dichalcogeniedes. To accomplish this, we use methods not applied to the description of excitons in two-dimensional materials so far and combined with a variational approach to describe the $1s$ excitonic state. The aforementioned transitions allow to probe dark states which are not revealed in absorption experiments. We present general formulas capable of describing any third-order process. The specific case of two-photon absorption in WSe2 is studied. The case of the circular well is also studied as a benchmark of the theory.

arXiv comment11 pages, 5 figures

References in corpus (14)

• Atomically thin MoS2: A new direct-gap semiconductor
• Exciton Binding Energy and Nonhydrogenic Rydberg Series in Monolayer WS2
• Excitons in atomically thin transition metal dichalcogenides
• Optical modulators with two-dimensional layered materials
• Optical signature of symmetry variations and spin-valley coupling in atomically thin tungsten dichalcogenides
• Ultra-strong nonlinear optical processes and trigonal warping in MoS${}_2$ layers
• Optical properties of atomically thin transition metal dichalcogenides: Observations and puzzles
• Optical harmonic generation in monolayer group-VI transition metal dichalcogenides
• Optical spectroscopy of excited exciton states in MoS2 monolayers in van der Waals heterostructures
• Characterization of the second- and third-harmonic optical susceptibilities of atomically thin tungsten diselenide
• Nonlinear optical selection rules of excitons in monolayer transition metal dichalcogenides
• Optical nonlinearities of excitons in monolayer MoS2
• A colloquium on the variational method applied to excitons in 2D materials
• Effects of exciton-plasmon strong coupling on third harmonic generation of WS2 monolayer at periodic plasmonic interfaces

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• Third-order polarizability of interlayer excitons in hetero-bilayers