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arXiv · 1609.09131

Electron-phonon interaction in an $N$-atomic 1-D periodic chain

Mujtaba Zahidy·Fatemeh Ghadirian·Afshin Namiranian
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Abstract

The study of electron-phonon interaction as a prominent inelastic effect is of great importance. In the present work, we have studied the inelastic effects due to the first order electron-phonon interactions on electronic properties of mono-atomic periodic chain, using the exact diagonalization technique. Hence, only acoustic modes are considered. To avoid the approximate results arising from Keldysh formalism and on-site electron-phonon interaction assumption, we have used the Green's function technique together with Fr\"{o}hlich Hamiltonian for the interaction part. Finally, as an example, we apply our method to the case of $N=6$ which could be considered as a Benzene-like molecule.

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Mujtaba Zahidy, Fatemeh Ghadirian, Afshin Namiranian. 2016-09-28. Electron-phonon interaction in an $N$-atomic 1-D periodic chain. https://arxiv.org/abs/1609.09131

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