https://doi.org/10.1140/epjp/s13360-024-05101-6
Regular Article
Real and damped modes for an interacting fermion–antifermion pair: exciton in monolayer medium
1
Department of Basic Sciences, Erzurum Technical University, 25050, Erzurum, Turkey
2
Department of Medical Imaging Techniques, Hakkari University, 30000, Hakkari, Turkey
3
Department of Electrical and Electronic Engineering, Erzurum Technical University, 25050, Erzurum, Turkey
b
semragurtasdogan@hakkari.edu.tr
Received:
9
November
2023
Accepted:
17
March
2024
Published online:
16
April
2024
In this manuscript, we investigate the interaction between a fermion–antifermion pair in 
-dimensions, governed by a Coulomb-type inter-particle potential. We explore analytical solutions for a fully covariant two-body Dirac equation derived from quantum electrodynamics, focusing on a spinless composite system. We present a non-perturbative second-order wave equation and derive a solution using the generators of the 
algebra. Subsequently, we determine the relativistic frequency modes of the system and extend our findings to electron–hole pairs in a monolayer medium in the vicinity of substrate. We analyze the impact of the effective dielectric constant (
) of the surrounding medium on the real and damped modes of an exciton. Our results indicate that the ground state binding energy of the system can vary from the order of eV to a few meV, depending on changes in . Additionally, we observe that the decay time for the ground state of such an exciton is on the order of 
s. These findings suggest that the evolution of such a pair can be controlled by adjusting the effective dielectric constant of the surrounding medium.
© The Author(s) 2024
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