2015/04/30 by Elsa Prada, J. V. Alvarez, K. L. Narasimha-Acharya +3 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #2D Materials and Applications #Anisotropy #Band gap #Binding energy #Condensed matter physics #Density functional theory #Effective mass (spring–mass system) #Exciton #MXene and MAX Phase Materials #Materials science #Monolayer #Nanotechnology #Perovskite Materials and Applications #Phosphorene #Physics #Polarizability #Quantum mechanics #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.91.245421
published as Phys. Rev. B 91, 245421 (2015) · 9 pages, 11 figures. v2 is the published version (in PRB) plus some extra small details, and corrected factor of 2 in the y-axis of Fig. 6!! Important corrections with respect to previous cond-mat version: Fig. 2, Fig. 3, Fig. 6, and extra details in the captions of Section IV
openalex publication_date 2015/06/17 · arxiv created 2016/03/14 · arxiv updated 2016/03/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.