Exact solution of an exciton energy for a monolayer medium

Abstract We present exact solutions of an energy spectrum of 2-interacting particles in which they seem to be relativistic fermions in 2 + 1 space-time dimensions. The 2 × 2 spinor equations of 2-interacting fermions through general central potential were separated covariantly into the relative and...

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Autores principales:	Abdullah Guvendi, Ramazan Sahin, Yusuf Sucu
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2019
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/6ad6a29c9df04dc49cacb4ec84e19fd6
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spelling	oai:doaj.org-article:6ad6a29c9df04dc49cacb4ec84e19fd62021-12-02T15:09:56ZExact solution of an exciton energy for a monolayer medium10.1038/s41598-019-45478-42045-2322https://doaj.org/article/6ad6a29c9df04dc49cacb4ec84e19fd62019-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-019-45478-4https://doaj.org/toc/2045-2322Abstract We present exact solutions of an energy spectrum of 2-interacting particles in which they seem to be relativistic fermions in 2 + 1 space-time dimensions. The 2 × 2 spinor equations of 2-interacting fermions through general central potential were separated covariantly into the relative and center of mass coordinates. First of all, the coupled first order differential equations depending on radial coordinate were derived from 2 × 2 spinor equations. Then, a second order radial differential equation was obtained and solved for Coulomb interaction potential. We apply our solutions to exciton phenomena for a free-standing monolayer medium. Since we regard exciton as isolated 2-interacting fermions in our model, any other external effect such as substrate was eliminated. Our results show that the obtained binding energies in our model are in agreement with the literature. Moreover, the decay time of an exciton was found out spontaneously in our calculations.Abdullah GuvendiRamazan SahinYusuf SucuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 9, Iss 1, Pp 1-6 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Abdullah Guvendi Ramazan Sahin Yusuf Sucu Exact solution of an exciton energy for a monolayer medium
description	Abstract We present exact solutions of an energy spectrum of 2-interacting particles in which they seem to be relativistic fermions in 2 + 1 space-time dimensions. The 2 × 2 spinor equations of 2-interacting fermions through general central potential were separated covariantly into the relative and center of mass coordinates. First of all, the coupled first order differential equations depending on radial coordinate were derived from 2 × 2 spinor equations. Then, a second order radial differential equation was obtained and solved for Coulomb interaction potential. We apply our solutions to exciton phenomena for a free-standing monolayer medium. Since we regard exciton as isolated 2-interacting fermions in our model, any other external effect such as substrate was eliminated. Our results show that the obtained binding energies in our model are in agreement with the literature. Moreover, the decay time of an exciton was found out spontaneously in our calculations.
format	article
author	Abdullah Guvendi Ramazan Sahin Yusuf Sucu
author_facet	Abdullah Guvendi Ramazan Sahin Yusuf Sucu
author_sort	Abdullah Guvendi
title	Exact solution of an exciton energy for a monolayer medium
title_short	Exact solution of an exciton energy for a monolayer medium
title_full	Exact solution of an exciton energy for a monolayer medium
title_fullStr	Exact solution of an exciton energy for a monolayer medium
title_full_unstemmed	Exact solution of an exciton energy for a monolayer medium
title_sort	exact solution of an exciton energy for a monolayer medium
publisher	Nature Portfolio
publishDate	2019
url	https://doaj.org/article/6ad6a29c9df04dc49cacb4ec84e19fd6
work_keys_str_mv	AT abdullahguvendi exactsolutionofanexcitonenergyforamonolayermedium AT ramazansahin exactsolutionofanexcitonenergyforamonolayermedium AT yusufsucu exactsolutionofanexcitonenergyforamonolayermedium
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Exact solution of an exciton energy for a monolayer medium

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