Geodesic
Lang--Firsov transformation in the generalized tight-binding method
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 6, pp. 780-785

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The effects of strong electron-phonon interaction in a realistic model of a system with strong Coulomb correlations are analyzed using the Lang and Firsov transformation. It is shown that polaronic and bipolaronic transformations, widely discussed in the literature and associated with a smooth or sharp transitions in the properties of charge carriers when the strength of the electron-phonon coupling changes, determine the switching of the system between the regimes of correlated carriers, polarons or bipolarons. These transitions are controlled by the local electron-phonon interaction of the Holstein type. At the same time, the non local electron-lattice contribution associated with the modulation of the hopping integral plays a major role in the crossover of the polaron and bipolaron regimes in the limit of strong electron correlations.
Keywords: polaron and bipolaron crossover, pd-model.
Mots-clés : Lang–Firsov transformation 
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Alexander V. Dudarev; Elena I. Shneyder. Lang--Firsov transformation in the generalized tight-binding method. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 6, pp. 780-785. http://geodesic.mathdoc.fr/item/JSFU_2023_16_6_a7/