One-electron energies in the presence of electron-phonon interactions |
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| Affiliation: | 1. Department of Physics, Quaid-i-Azam University, 45320 Islamabad, Pakistan;2. Department of Physics, Women University of Azad Jammu and Kashmir, Bagh, Pakistan;3. Department of Physics, Faculty of Science, Jazan University, P. O. Box 114, Jazan, Saudi Arabia;4. CONACYT, Corporación Mexicana de Investigación en Materiales, 25290 Saltillo, Coahuila, Mexico;5. Universidad Autónoma de Coahuila, Facultad de Ciencias Químicas, 25280 Saltillo, Coahuila, Mexico |
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| Abstract: | Decoupling of an electron-ion interacting system is considered and the pseudopotential method of Phillips and Kleinman is extended to include the effect of electron-phonon interactions. It is shown that the effective potential experienced by a decoupled electron is the instantaneous pseudopotential averaged over all possible phonon states. The averaged pseudopotential is not only periodic but also temperature-dependent. After decoupling, a simple procedure for calculating single-electron excitation energies resulting from the coupling term is given and the result is formally in agreement with that obtained by Green's function method. |
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