Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal Dichalcogenides

The article discusses the production and properties of two-dimensional atomic layers of transition metal dichalcogenides (TMDs), focusing on the optical properties of monolayers. It begins with an introduction to the discovery of graphene production methods and the subsequent interest in TMDs. The b...

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Main Authors: Rustam Y. Rasulov, Voxob R. Rasulov, Kamolakhon K. Urinova, Makhliyo A. Mamatova, Bakhodir B. Akhmedov
Format: Article
Language:English
Published: V.N. Karazin Kharkiv National University Publishing 2024-03-01
Series:East European Journal of Physics
Subjects:
Online Access:https://periodicals.karazin.ua/eejp/article/view/23026
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author Rustam Y. Rasulov
Voxob R. Rasulov
Kamolakhon K. Urinova
Makhliyo A. Mamatova
Bakhodir B. Akhmedov
author_facet Rustam Y. Rasulov
Voxob R. Rasulov
Kamolakhon K. Urinova
Makhliyo A. Mamatova
Bakhodir B. Akhmedov
author_sort Rustam Y. Rasulov
collection DOAJ
description The article discusses the production and properties of two-dimensional atomic layers of transition metal dichalcogenides (TMDs), focusing on the optical properties of monolayers. It begins with an introduction to the discovery of graphene production methods and the subsequent interest in TMDs. The basic properties of TMD monolayers, their crystal structure, and Brillouin zone are detailed. The article explores the energy spectrum of electrons in different valleys and the effective Hamiltonian describing states in parallel spin bands. The discussion extends to the matrix elements of interband optical transitions, including single-, two-, and three-photon transitions. Equations are provided to calculate probabilities of optical transitions, incorporating factors such as polarization vector, frequency of light, and temperature of the sample. Theoretical analysis of constituent matrix elements for these transitions is outlined, emphasizing quantum mechanical aspects. The article contributes researching of the optical behavior of transition metal dichalcogenides (TMDs) monolayers, particularly in structures with complex compositions.
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spelling doaj.art-3901cb44891c40d8aeffe079c4a2b8cd2024-03-05T22:41:10ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392024-03-01139339710.26565/2312-4334-2024-1-4023026Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal DichalcogenidesRustam Y. Rasulov0Voxob R. Rasulov1Kamolakhon K. Urinova2Makhliyo A. Mamatova3Bakhodir B. Akhmedov4Fergana State University, Fergana, UzbekistanFergana State University, Fergana, UzbekistanKokand State pedagogical Institute, Kokand, UzbekistanFergana State University, Fergana, UzbekistanFergana State University, Fergana, UzbekistanThe article discusses the production and properties of two-dimensional atomic layers of transition metal dichalcogenides (TMDs), focusing on the optical properties of monolayers. It begins with an introduction to the discovery of graphene production methods and the subsequent interest in TMDs. The basic properties of TMD monolayers, their crystal structure, and Brillouin zone are detailed. The article explores the energy spectrum of electrons in different valleys and the effective Hamiltonian describing states in parallel spin bands. The discussion extends to the matrix elements of interband optical transitions, including single-, two-, and three-photon transitions. Equations are provided to calculate probabilities of optical transitions, incorporating factors such as polarization vector, frequency of light, and temperature of the sample. Theoretical analysis of constituent matrix elements for these transitions is outlined, emphasizing quantum mechanical aspects. The article contributes researching of the optical behavior of transition metal dichalcogenides (TMDs) monolayers, particularly in structures with complex compositions.https://periodicals.karazin.ua/eejp/article/view/23026polarized photonmatrix elementoptical transitionstwo-band approximationcurrent carrierselectron hamiltonianmomentum operatorspin states
spellingShingle Rustam Y. Rasulov
Voxob R. Rasulov
Kamolakhon K. Urinova
Makhliyo A. Mamatova
Bakhodir B. Akhmedov
Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal Dichalcogenides
East European Journal of Physics
polarized photon
matrix element
optical transitions
two-band approximation
current carriers
electron hamiltonian
momentum operator
spin states
title Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal Dichalcogenides
title_full Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal Dichalcogenides
title_fullStr Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal Dichalcogenides
title_full_unstemmed Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal Dichalcogenides
title_short Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal Dichalcogenides
title_sort single and multiphoton optical transitions in atomically thin layers of transition metal dichalcogenides
topic polarized photon
matrix element
optical transitions
two-band approximation
current carriers
electron hamiltonian
momentum operator
spin states
url https://periodicals.karazin.ua/eejp/article/view/23026
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AT kamolakhonkurinova singleandmultiphotonopticaltransitionsinatomicallythinlayersoftransitionmetaldichalcogenides
AT makhliyoamamatova singleandmultiphotonopticaltransitionsinatomicallythinlayersoftransitionmetaldichalcogenides
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