Programme

P.30 -- Poster, VCTP-49

Date: Wednesday, 31 July 2024

Time: 08:30 - 10:00

Low Energy Levels of Excitons in Monolayer TMDs in a Homogeneous Magnetic Field Using the FK Operator Method

Vinh-Phat Tran (1), Huu-Duc Le (1), Thu-Ha N. Luong (1) and Duy-Nhat Ly (1)

(1) Ho Chi Minh City University of Education, Vietnam.

The energy spectra emitted from Monolayer Transition Metal Dichalcogenides (TMDs) in a homogeneous magnetic field have been studied extensively through both theory and experiment [1–4]. By comparing theoretical and experimental energy spectra, structural information about TMDs, such as reduced exciton mass, polarizability, and the dielectric constant of the surrounding medium, can be retrieved [1,4]. This information is crucial for understanding the properties of TMDs. In this paper, the Keldysh interaction potential is written in the standard form of the creation operator and annihilation operator through Fourier transformation. From there, the exact matrix element expression is found using the Feranchuk–Komarov (FK) operator method [5]. Analytical energy levels of 1s, 2s and 3s states, depending on the magnetic field, are compared with experimental values [4]. The results show that in the ground state and low excited states in the low magnetic field region, the error is below In the magnetic field region higher than 40 Tesla, the 3s level has error of less than Although the theoretically calculated energies are currently limited to zero-order perturbation, the results demonstrate the effectiveness of applying the FK operator method with the Fourier transformation. This result will be developed further at higher perturbation orders to achieve analytical solutions that are in closer agreement with experimental data. [1] Duy-Nhat Ly and Van-Hoang Le et al., Phys. Rev. B, 2023. [2] H. T. Nguyen-Truong, Phys. Rev. B, 2023. [3] E. Liu et al., Nat. Commun., 2021. [4] M. Goryca et al., Nat. Commun., 2019. [5] Duy-Nhat Ly and Van-Hoang Le et al., Comput. Phys. Commun., 2024.

Presenter: Le Huu Duc