The anticommutative Green’s functions of a dimer and its energy spectrum and correlation functions are calculated exactly and in the approximation of static fluctuations within the framework of the Hubbard model. The calculation allows for the interaction of electrons located on different sites. It is shown that this leads to splitting of some energy levels and a substantial restructuring of the energy spectrum of the system.
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References
J. Hubbard, Proc. Roy. Soc., A276, 238 (1963).
M. C. Gutzwiller, Phys. Rev. Lett, 10, 159 (1963).
J. Kanamori, Prog. Theor. Phys, 30, 275 (1963).
S. P. Schubin and S. V. Wonsowskii, Proc. Roy. Soc., A145, 159 (1934).
S. P. Schubin and S. V. Wonsowskii, Phys. Zs. Sow., 7, 292 (1935).
S. P. Schubin and S. V. Wonsowskii, Phys. Zs. Sow., 10, 348 (1936).
R. H. McKenzie, Comments Cond. Mat. Phys., 18, 309 (1998).
C. E. Campos, Phys. Rev., B-53, 12725 (1996).
A. B. Harris and R. V. Lange, Phys. Rev, 157, 156 (1967).
F. Castet, A. Fritsch, and L. Ducasse, J. Phys. I (France), 6, 583 (1996).
L.Ducasse, J. Phys., 21, 115 (2000).
B. Alvarez-Fernandez and J. A. Blanco, Eur. J. Phys, 23, 11 (2002).
E. J. Meniry, Introduction to the Hubbard Model, University of Belfast (2005).
A. V. Silant’ev, Izv. Vyssh. Uchebn. Zaved. Povolzhskii Region. Fiz.-Mat. Nauki, No. 3(19), 151 (2011).
A. V. Silant’ev, Izv. Vyssh. Uchebn. Zaved. Povolzhskii Region. Fiz.-Mat. Nauki, No. 4(20), 122 (2011).
A. V. Silant’ev, Izv. Vyssh. Uchebn. Zaved. Povolzhskii Region. Fiz.-Mat. Nauki, No. 4(24), 214 (2012).
A. V. Silant’ev, Russ. Phys. J., 56, No. 2, 192 (2013).
G. I. Mironov, Fiz. Tverd. Tela, 49, 527 (2007).
R. R. Nigmatullin, A. A. Khamzin, and I. I. Popov, Zh. Eksp. Teor. Fiz., 114, 355 (2012).
G. I. Mironov, Fiz. Tverd. Tela, 48, 48, 1299 (2006).
A. I. Murzashev, Zh. Eksp. Teor. Fiz., 135, 122 (2009).
S. V. Tyablikov, Methods of the Quantum Theory of Magnetism [in Russian], Nauka, Moscow (1975).
F. Gebhard, The Mott Metal-Insulator Transition: Models and Methods, Springer-Verlag, Berlin (1997).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 37–45, November, 2014.
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Silant’ev, A.V. A Dimer in the Extended Hubbard Model. Russ Phys J 57, 1491–1502 (2015). https://doi.org/10.1007/s11182-015-0406-z
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DOI: https://doi.org/10.1007/s11182-015-0406-z