Effective-mass theory for the anisotropic exciton in two-dimensional crystals: Application to phosphorene
Entity
UAM. Departamento de Física de la Materia CondensadaPublisher
American Physical SocietyDate
2015-06-17Citation
10.1103/PhysRevB.91.245421
Physical Review B - Condensed Matter and Materials Physics 91.24 (2015): 245421
ISSN
1098-0121 (print); 1550-235X (online)DOI
10.1103/PhysRevB.91.245421Funded by
This work was supported by MINECO under Grants No. FIS2013-47328 and No. FIS2012-37549, by European Union structural funds and the Comunidad de Madrid Programs S2013/MIT-3007 and P2013/MIT-2850, and by Generalitat Valenciana under Grant No. PROMETEO/2012/011. E.P. also acknowledges the Ramón y Cajal ProgramProject
Comunidad de Madrid. S2013/MIT-3007/IMDEA; Comunidad de Madrid. P2013/MIT-2850/NANOFRONTMAG-CMEditor's Version
http://dx.doi.org/10.1103/PhysRevB.91.245421Subjects
Exciton binding energy; Variational wave functions; Numerical solutions; FísicaRights
©2015 American Physical SocietyAbstract
We present a theoretical study of the exciton binding energy for anisotropic two-dimensional crystals. We obtain analytical expressions from variational wave functions in different limits of the screening length to exciton size ratio and compare them with numerical solutions, both variational and exact. As an example, we apply these results to phosphorene, a monolayer of black phosphorous. Aided by density-functional-theory calculations for the evaluation of the two-dimensional polarizability, our analytical solution for the exciton binding energy gives a result which compares well with numerical ones and, in turn, with experimental values, as recently reported
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Google Scholar:Prada, Elsa
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Alvarez, J. V.
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Narasimha-Acharya, K. L.
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Bailen, F. J.
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Palacios Burgos, Juan José
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