Electron–phonon interaction in the strongly correlated Hubbard model

2007 ◽  
Vol 460-462 ◽  
pp. 1117-1118
Author(s):  
Z.B. Huang ◽  
Y. Gao ◽  
W. Hanke ◽  
E. Arrigoni
Keyword(s):  
Hubbard Model ◽  
Strongly Correlated ◽  
Phonon Interaction ◽  
Electron Phonon Interaction

Correlation-renormalized electron-phonon interaction in the two-dimensional Hubbard model

1999 ◽  
Vol 60 (14) ◽  
pp. 10442-10446 ◽  
Author(s):  
M. Mierzejewski ◽  
J. Zieliński ◽  
P. Entel
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
Phonon Interaction ◽  
Electron Phonon Interaction

PERIODICAL ANDERSON MODEL AND ELECTRON-PHONON INTERACTION

1993 ◽  
Vol 07 (01n03) ◽  
pp. 62-66
Author(s):  
IGOR S. SANDALOV
Keyword(s):  
Anderson Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Strongly Correlated Electrons ◽  
Correlated Electrons ◽  
Strongly Correlated ◽  
Zero Temperature ◽  
Phonon Interaction ◽  
Dynamic Matrix ◽  
Electron Phonon Interaction

The periodical Anderson model (PAM) is microscopically derived. It is shown that the PAM is a mean field theory for the electric potential. The mixing interaction (MI) consists of single- and two-particle contributions. The first is proportional to the overlap integral of localized and band wave functions and vanishes when band energies are on the Fermi surface. It leads to the absence of heavy-fermion effects in the theories based on the PAM with only this mixing term. Using the orthogonal basis this term vanishes only at zero temperature. Applicability of the Luttinger theorem to systems with strongly-correlated electrons (SSCE) is discussed. The phonon dynamic matrix and electron-phonon interaction (EPI) for SSCE are microscopically derived.

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