2019
DOI: 10.1103/physrevb.99.035416
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Monolayer transition metal dichalcogenides in strong magnetic fields: Validating the Wannier model using a microscopic calculation

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 th… Show more

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Cited by 17 publications
(12 citation statements)
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“…Instead of solving the Bethe Salpeter equation starting from ab-initio calculations [18], which is computationally demanding, we follow the path of solving the anisotropic Wannier equation. This approach has been shown, in the context of TMD's in strong magnetic fields, to produce binding energies in full agreement with the solution of the Bethe-Salpeter equation [19]. As we will see, our approach proposes a semi-analytical form for the wave function of the excitons up to a set of numerical coefficients determined from the solution of a generalized eigenvalue problem.…”
Section: Introductionmentioning
confidence: 71%
“…Instead of solving the Bethe Salpeter equation starting from ab-initio calculations [18], which is computationally demanding, we follow the path of solving the anisotropic Wannier equation. This approach has been shown, in the context of TMD's in strong magnetic fields, to produce binding energies in full agreement with the solution of the Bethe-Salpeter equation [19]. As we will see, our approach proposes a semi-analytical form for the wave function of the excitons up to a set of numerical coefficients determined from the solution of a generalized eigenvalue problem.…”
Section: Introductionmentioning
confidence: 71%
“…In this regime, the transition energy increases approximately linearly with B as for all exciton states ( / is the exciton cyclotron frequency). In the regime of mediate B field, the exciton energy will gradually transit from the B 2 to B dependence [24,33,[35][36][37][38].…”
Section: Resultsmentioning
confidence: 99%
“…It should be noted, that an exchange self-energy correction to the single-particle band gap exists, and this effect is not included in our simple model. The self-energy correction is decreases when the screening from the surroundings increases [29,34]. To account for this missing effect, the spectra in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…So far, the theoretical analysis of TMD magnetoexcitons has relied on effective mass models, such as the Wannier model [10,24,27,28]. We recently validated that the Wannier model can be used to accurately describe certain properties of magnetoexcitons [29]. However, in the Wannier model, the Bloch part of the wave function is replaced by a plane wave, which makes the task of computing the single-particle momentum matrixelements unfeasible.…”
Section: Introductionmentioning
confidence: 99%