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Title: Exciton spectrum in two-dimensional transition metal dichalcogenides: The role of Diracness
Authors: Trushin, M 
Goerbig, M.O
Belzig, W
Keywords: Calculations
Linear equations
Quantum theory
Transition metals
Ab initio calculations
Coulomb attraction
Dirac equations
Electron hole pairs
Exciton spectra
Quantum mechanical
Spectroscopic measurements
Transition metal dichalcogenides
Issue Date: 2017
Citation: Trushin, M, Goerbig, M.O, Belzig, W (2017). Exciton spectrum in two-dimensional transition metal dichalcogenides: The role of Diracness. Journal of Physics: Conference Series 864 (1) : 12033. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
Abstract: The physics of excitons, electron-hole pairs that are bound together by their mutual Coulomb attraction, can to great extent be understood in the framework of the quantum-mechanical hydrogen model. This model has recently been challenged by spectroscopic measurements on two-dimensional transition-metal dichalchogenides that unveil strong deviations from a hydrogenic spectrum. Here, we show that this deviation is due to the particular relativistic character of electrons in this class of materials. Indeed, their electrons are no longer described in terms of a Schr�dinger but a massive Dirac equation that intimately links electrons to holes. Dirac excitons therefore inherit a relativistic quantum spin-1/2 that contributes to the angular momentum and thus the exciton spectrum. Most saliently, the level spacing is strongly reduced as compared to the hydrogen model, in agreement with spectroscopic measurements and ab-initio calculations.
Source Title: Journal of Physics: Conference Series
ISSN: 17426588
DOI: 10.1088/1742-6596/864/1/012033
Rights: Attribution 4.0 International
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