Abstract
Using an equation of motion (EOM) approach, we calculate excitonic properties of monolayer transition metal dichalcogenides (TMDs) perturbed by an external magnetic field. We compare our findings to the widely used Wannier model for excitons in two-dimensional materials and to recent experimental results. We find good agreement between the calculated excitonic transition energies and the experimental results. In addition, we find that the exciton energies calculated using the EOM approach are slightly lower than the ones calculated using the Wannier model. Finally, we also show that the effect of the dielectric environment on the magnetoexciton transition energy is minimal due to counteracting changes in the exciton energy and the exchange self-energy correction.
Highlights
The first use of an external magnetic field to study excitons and the electronic structure in thin-film transition metal dichalcogenides (TMDs) was published in 1978 [1]
Using an equation of motion (EOM) approach, we calculate excitonic properties of monolayer transition metal dichalcogenides perturbed by an external magnetic field
These phenomena include the valley Zeeman effect, a magnetic field assisted lifting of the degeneracy of the inequivalent K and K valleys [11,12,13]. This control of the degeneracy could prove useful in the area of valleytronics [14]. Another phenomenon lending itself to possible optical applications is Faraday rotation [15], which has been observed in monolayer TMDs perturbed by a magnetic field [16,17]
Summary
The first use of an external magnetic field to study excitons and the electronic structure in thin-film transition metal dichalcogenides (TMDs) was published in 1978 [1]. The standard theoretical approach has been to use an effective mass model such as the Wannier model [28], where the effective mass is calculated from the band structure of the unperturbed system Using this approach, results regarding the binding energy of excitons, trions, and biexcitons in monolayer TMDs perturbed by a magnetic field were recently published in Ref. [7] to the case in which the TMDs are perturbed by an external magnetic field This model has several advantages, which include accounting for the Landau level structure of TMDs, allowing coupling between distinct bands and valleys, and providing a more self-contained theoretical. VI our results are presented and compared to recent experiments
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