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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 149, Number 1, Pages 99–110
DOI: https://doi.org/10.4213/tmf3834
(Mi tmf3834)
 

This article is cited in 3 scientific papers (total in 3 papers)

Peculiarities of pair interaction in the four-band Hubbard model

D. F. Digora, P. Entelb, V. A. Moskalenkoca, N. M. Plakidac

a Institute of Applied Physics Academy of Sciences of Moldova
b Duisburg University
c Joint Institute for Nuclear Research
Full-text PDF (359 kB) Citations (3)
References:
Abstract: We consider the four-band model of high-temperature superconductors with copper {\rm3d}$_{x^2-y^2}$ and {\rm4s} electrons and oxygen {\rm2p}$_x$ and {\rm2p}$_y$ electrons. We assume that the Coulomb repulsion between the copper {\rm3d} electrons is strong. We diagonalize the oxygen subsystem and pass to the Wannier representation for the CuO$_2$ cluster. We study the properties of a local cell model and find its low-energy states such as the one-particle doublet and the two-particle singlet and triplet states. We consider the cell fermion delocalization because of their tunneling between the copper sites. We obtain a system of Dyson-type equations for renormalized one-particle Green's functions and discuss whether it can be simplified.
Keywords: strongly correlated electron system, high-temperature superconductor.
Received: 15.02.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 149, Issue 1, Pages 1382–1392
DOI: https://doi.org/10.1007/s11232-006-0126-1
Bibliographic databases:
Language: Russian
Citation: D. F. Digor, P. Entel, V. A. Moskalenko, N. M. Plakida, “Peculiarities of pair interaction in the four-band Hubbard model”, TMF, 149:1 (2006), 99–110; Theoret. and Math. Phys., 149:1 (2006), 1382–1392
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf3834
  • https://doi.org/10.4213/tmf3834
  • https://www.mathnet.ru/eng/tmf/v149/i1/p99
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:418
    Full-text PDF :232
    References:57
    First page:3
     
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