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Binding energy and decaytime of exciton in dielectric medium

  • Regular Article - Solid State and Materials
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Abstract

We developed a unique model for exciton in monolayer medium with an effective dielectric constant \(\epsilon _{eff}\) (in which the monolayer material is placed on a substrate such as fused silica glass or \(SiO_{2}\) in experiments). Our model was based on an exact solution of the corresponding fully-covariant two-body Dirac-Coulomb type equation. For singlet quantum state of a static electron-hole pair in such a medium, we obtained a non-perturbative frequency spectrum composed of real and imaginary parts. We obtained explicit expressions for practical calculations of binding energy and decaytime of such a system. The results show that one can actively tune both binding energy and decaytime of an exciton during photo-excitation experiments by adjusting the value of \(\epsilon _{eff}\). We think that our calculations and approaches eliminate cross-talk in the literature and explain the discrepancy between experimental results of binding energy of an exciton for different substrates.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: No data were used to support this study.]

Notes

  1. \((\sigma ^{0}\otimes \sigma ^{0})^{2}\) gives \(4\times 4\) dimensional unit matrix \(\mathbf{I }_{4}\).

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Author information

Authors and Affiliations

  1. Medical Imaging Techniques, Simav Vocational School of Health Services, Kutahya Health Sciences University, TR-43500, Kutahya, Turkey

    Abdullah Guvendi

  2. Department of Physics, Faculty of Science, Akdeniz University, TR-07058, Antalya, Turkey

    Ramazan Sahin & Yusuf Sucu

Authors
  1. Abdullah Guvendi
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  2. Ramazan Sahin
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  3. Yusuf Sucu
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Contributions

AG performed the calculations. YS and RS suggested the problem and discussed the physics behind the interaction mechanism. AG and RS analyzed the results. All authors equally contributed to preparation of the manuscript. All the authors have read and approved the final manuscript.

Corresponding author

Correspondence to Abdullah Guvendi.

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Guvendi, A., Sahin, R. & Sucu, Y. Binding energy and decaytime of exciton in dielectric medium. Eur. Phys. J. B 94, 16 (2021). https://doi.org/10.1140/epjb/s10051-020-00030-6

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