Open AccessScreening effect for excitonic spectrum of Coulomb coupling between two Dirac particles
Author(s) -
V. V. Zalipaev,
Vladislav Kuidin
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2015/1/012169
Subject(s) - hamiltonian (control theory) , coulomb , eigenvalues and eigenvectors , physics , energy spectrum , spectrum (functional analysis) , quantum mechanics , exciton , wave function , dirac equation , condensed matter physics , mathematics , electron , mathematical optimization
The properties of screening effect for energy spectrum of excitons in monolayer transition metal dichalcogenides are investigated using a multiband model. The excitonic hamiltonian in the product base of the Dirac single-particle is used. The corresponding energy eigenvalue system of the first order ODE (radial equations) was solved using the finite difference method. This enables to determine the energy eigenvalues of the discrete excitonic spectrum and the wave functions. We compare the results for the energy spectrum and the corresponding eigen-functions forms for WS 2 and WSe 2 computed for two different potentials: pure Coulomb and screened Coulomb (Keldysh potential). It is demonstrated that excitonic energy levels for unscreened potential lie dipper, and the corresponding eigen-functions’ forms differ from those obtained for screened one.