Interaction of strongly correlated electrons and acoustical phonons
We investigate the interaction of correlated electrons with acoustical phonons using the extended Hubbard–Holstein model. The Lang–Firsov canonical transformation allows one to obtain mobile polarons for which a new diagram technique and generalized Wick’s theorem is used. The physics of emission...
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| Date: | 2006 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Series: | Физика низких температур |
| Subjects: | |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Interaction of strongly correlated electrons and acoustical phonons / V.A. Moskalenko, P. Entel, D.F. Digor // Физика низких температур. — 2006. — Т. 32, № 4-5. — С. 609–633. — Бібліогр.: 34 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We investigate the interaction of correlated electrons with acoustical phonons using the extended
Hubbard–Holstein model. The Lang–Firsov canonical transformation allows one to obtain
mobile polarons for which a new diagram technique and generalized Wick’s theorem is used. The
physics of emission and absorption of the collective phonon-field mode by the polarons is discussed
in detail. In the strong-coupling limit of the electron-phonon interaction, and in the normal as
well as in the superconducting phase, chronological thermodynamical averages of products of
acoustical phonon-cloud operators can be expressed by the products of one-cloud operator averages.
While the normal one-cloud propagator has the form of a Lorentzian, the anomalous one is of
Gaussian form and considerably smaller. We have established the Mott–Hubbard and superconducting
phase transitions in this model. |
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