Generalized scaling law for exciton binding energy in two-dimensional materials

S. Ahmad, M. Zubair, O. Jalil, M. Q. Mehmood, U. Younis, U. Younis, X. Liu, K. W. Ang, L. K. Ang

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


Binding energy calculation in two-dimensional (2D) materials is crucial in determining their electronic and optical properties pertaining to enhanced Coulomb interactions between charge carriers due to quantum confinement and reduced dielectric screening. Based on full solutions of the Schrödinger equation in a screened hydrogen model with a modified Coulomb potential (1/rβ-2), we present a generalized and analytical scaling law for the exciton binding energy, Eβ=E0(aβb+c)(μ/ µ2), where β is a fractional-dimension parameter that accounts for the reduced dielectric screening. The model is able to provide accurate binding energies, benchmarked using the reported Bethe-Salpeter equation and experimental data, for 58 monolayer 2D and eight bulk materials, respectively, through β. For a given material, β is varied from β=3 for bulk three-dimensional materials to a value lying in the range 2.55-2.7 for 2D monolayer materials. With βmean=2.625, our model improves the average relative mean square error by a factor of 3 in comparison to existing models. The results can be used for Coulomb engineering of exciton binding energies in the optimal design of 2D materials.
Original languageEnglish (US)
JournalPhysical Review Applied
Issue number6
StatePublished - Jun 1 2020
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-09-20

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Generalized scaling law for exciton binding energy in two-dimensional materials'. Together they form a unique fingerprint.

Cite this