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A quantum mechanical expression for the lattice contribution to the total dielectric function of semiconductors
Affiliation:2. National Supercomputing Center in Shenzhen, Shenzhen 518055, PR China;1. School of Business Informatics, National Research University Higher School of Economics, Moscow 101000, Russia;2. Theoretical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam;3. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam;4. A.I. Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation, 2 Alikhanian Brothers St., Yerevan 375036, Armenia;1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, PR China;2. Department of Mathematics, Yuxi Normal University, Yuxi 653100, PR China
Abstract:Effects of electron-electron and electron-phonon optical interactions on the lattice dielectric function of the doped polar semiconductors are investigated. A new expression for the lattice contribution to the dielectric function is derived using the remarkable Zubarev double-time Green function. A numerical calculation for the case of GaN is done to highlight the accuracy of the model. The results obtained are in agreement with the available experimental data and reproduce the main features observed in Raman scattering spectra.
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