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Effective Hamiltonians and bindings energies of Wannier excitons in polar semiconductors
Abstract
The interaction of Wannier excitons with an LO-phonon field is investigated in detail. We derive effective local Hamiltonians which may be used to calculate the whole exciton spectrum in a polarizable medium. The constituents of the exciton are no longer treated as two independent polarons. The coupling of the polarons is described by new displacement amplitudes. The ground-state energy is evaluated variationally as an example and the analytic expression for the exciton's self-energy is discussed as a function of the binding-strength. We do not reproduce numerical results for various materials which have been given in previous letters and have been found to compare satisfactorily with experimental data. Meanwhile our results have been used with great success in a variety of more complex problems due to its formal simplicity and its quantitative accuracy.
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Cited by
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
Excitons in Metal‐Halide Perovskites
Baranowski, M., & Plochocka, P. (2020) · Advanced Energy Materials · doi:10.1002/aenm.201903659 · Cited by 425
Valence-band ordering and magneto-optic exciton fine structure in ZnO
Lambrecht, W. R. L., Rodina, A. V., Limpijumnong, S., Segall, B., & Meyer, B. K. (2002) · Physical Review B · doi:10.1103/physrevb.65.075207 · Cited by 275
Metadata
- Authors
- Pollmann, J., & Büttner, H.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1977-11-15
- Volume
- 16
- Issue
- 10
- Pages
- 4480-4490
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2071021518
- Cited by
- 168
- References
- 0
- FWCI
- 3.86
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pollmann, J., & Büttner, H. (1977). Effective Hamiltonians and bindings energies of Wannier excitons in polar semiconductors. Physical Review B. https://doi.org/10.1103/physrevb.16.4480
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