2003
DOI: 10.1134/1.1618349
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Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons

Abstract: We investigate the interaction of strongly correlated electrons with phonons in the frame of the Hubbard-Holstein model. The electron-phonon interaction is considered to be strong and is an important parameter of the model besides the Coulomb repulsion of electrons and band filling. This interaction with the nondispersive optical phonons has been transformed to the problem of mobile polarons by using the canonical transformation of Lang and Firsov. We discuss in particular the case for which the on-site Coulom… Show more

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Cited by 6 publications
(5 citation statements)
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“…We consider now the most interesting case, namely superconductivity of correlated electrons coupled to dispersive acoustical phonons. This investigation differs from our previous studies [14][15][16][17][18][19] of electrons coupled to dispersionless optical phonons, which was addressed by most other authors [20][21][22][23] .…”
Section: Introductioncontrasting
confidence: 91%
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“…We consider now the most interesting case, namely superconductivity of correlated electrons coupled to dispersive acoustical phonons. This investigation differs from our previous studies [14][15][16][17][18][19] of electrons coupled to dispersionless optical phonons, which was addressed by most other authors [20][21][22][23] .…”
Section: Introductioncontrasting
confidence: 91%
“…(24a) by one in which the region of integration is limited to the two small intervals (0, τ 0 ) and (β − τ 0 , β). In these intervals insertion of the expansions (19) lead to…”
Section: Appendix A: Laplace Approximationmentioning
confidence: 99%
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“…This question is the special problem of strongly correlated electron system and has been studied in many papers [8][9][10][11][12][13][14][15][16][17].…”
Section: Correlation Function For Anderson Impurity Modelmentioning
confidence: 99%
“…Из теоретических исследований ясно, что чисто электрон-фононный механизм образования куперовских пар маловероятен, однако некоторые исследователи полагают, что он благоприятствует формированию сверхпроводящих пар электронов, а ряд других [23][24][25] считают, что он может непосредственно участвовать в механизме образования сверхпроводящих пар.…”
Section: Introductionunclassified