Abstract:
A generalized Wick theorem is proposed for the superconducting phase of the single-band Hubbard model, and a thermodynamic diagram technique taking into account the strong electron correlations of the system is developed. An exact Dyson equation is obtained for the single-particle Green's function and an approximate equation for the correlation twoparticle
Green's function. On this basis, a dynamical system of equations that determines the superconducting phase of the Hubbard model is formulated.
Citation:
N. N. Bogolyubov, V. A. Moskalenko, “On the existence of superconductivity in the Hubbard model”, TMF, 86:1 (1991), 16–30; Theoret. and Math. Phys., 86:1 (1991), 10–19
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\by N.~N.~Bogolyubov, V.~A.~Moskalenko
\paper On~the existence of superconductivity in the Hubbard model
\jour TMF
\yr 1991
\vol 86
\issue 1
\pages 16--30
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1106825}
\zmath{https://zbmath.org/?q=an:0989.82510}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 1
\pages 10--19
\crossref{https://doi.org/10.1007/BF01018492}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GC79000002}
Linking options:
https://www.mathnet.ru/eng/tmf5413
https://www.mathnet.ru/eng/tmf/v86/i1/p16
This publication is cited in the following 29 articles:
I. D. Chebotar', “Systems of Strongly Correlated Electrons Interacting with Each Other and with Phonons: Diagrammatic Approach”, Surf. Engin. Appl.Electrochem., 60:1 (2024), 94
V. A. Moskalenko, L. A. Dohotaru, D. F. Digor, “The theory of nonequilibrium Anderson impurity model for strongly correlated electron systems”, Low Temperature Physics, 41:5 (2015), 401
V. A. Moskalenko, L. A. Dohotaru, D. F. Digor, I. D. Chebotar', “Diagram theory for the twofold-degenerate Anderson impurity model”, Theoret. and Math. Phys., 178:1 (2014), 115–129
V. A. Moskalenko, L. A. Dohotaru, D. F. Digor, I. D. Chebotar', “Dynamics of phonon clouds of correlated polarons”, Theoret. and Math. Phys., 179:2 (2014), 588–595
Moskalenko V.A., Dohotaru L.A., Digor D.F., Cebotari I.D., “Strong Coupling Diagrammatic Approach To the Anderson-Holstein Hamiltonian”, Proc. Rom. Acad. Ser. A-Math. Phys., 15:2 (2014), 139–145
Moskalenko V.A., Dohotaru L.A., Digor D.F., Cebotari I.D., “Stationary Property of the Thermodynamic Potential of the Hubbard Model in Strong Coupling Diagrammatic Approach for Superconducting State”, Low Temp. Phys., 38:10 (2012), 922–929
V. A. Moskalenko, L. A. Dohotaru, I. D. Chebotar', D. F. Digor, “The diagram theory for the degenerate two-orbital Hubbard model”, Theoret. and Math. Phys., 168:3 (2011), 1278–1289
V. A. Moskalenko, L. A. Dohotaru, R. Citro, “Diagram theory for the periodic Anderson model: Stationarity of the thermodynamic potential”, Theoret. and Math. Phys., 162:3 (2010), 366–382
Kuzemsky A.L., “Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence”, International Journal of Modern Physics B, 24:8 (2010), 835–935
Moskalenko V.A., Dohotaru L.A., “Diagrammatic analysis of the Hubbard model: Stationary property of the thermodynamic potential”, Physics of Particles and Nuclei, 41:7 (2010), 1039–1043
Moskalenko V.A., Dohotaru L.A., “Diagrammatic theory for periodic anderson model”, Physics of Particles and Nuclei, 41:7 (2010), 1044–1049
Moskalenko V.A., Dohotaru L.A., Cebotari I.D., “Diagram analysis of the Hubbard model: Stationarity property of the thermodynamic potential”, Zh Èksper Teoret Fiz, 111:1 (2010), 97–103
V. A. Moskalenko, P. Entel, L. A. Dohotaru, R. Citro, “Diagrammatic theory for the Anderson impurity model: Stationary property of the thermodynamic potential”, Theoret. and Math. Phys., 159:1 (2009), 551–560
V. A. Moskalenko, P. Entel, D. F. Digor, L. A. Dohotaru, R. Citro, “A diagram approach to the strong coupling in the single-impurity
Anderson model”, Theoret. and Math. Phys., 155:3 (2008), 914–935
D. F. Digor, P. Entel, V. A. Moskalenko, N. M. Plakida, “Peculiarities of pair interaction in the four-band Hubbard model”, Theoret. and Math. Phys., 149:1 (2006), 1382–1392
Moskalenko, VA, “Strong interaction of correlated electrons with acoustical phonons using the extended Hubbard-Holstein model”, Physical Review B, 74:7 (2006), 075109
Moskalenka, VA, “Interaction of strongly correlated electrons and acoustical phonons”, Low Temperature Physics, 32:4–5 (2006), 462
Moskalenko, VA, “Strong interaction of correlated electrons with phonons”, Physics of Particles and Nuclei, 36 (2005), S100
Moskalenko, VA, “Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons”, Journal of Experimental and Theoretical Physics, 97:3 (2003), 632
Moskalenko V.A., Entel P., Marinaro M., Perkins N.B., Holtfort C., “Hopping perturbation treatment of the periodic Anderson model around the atomic limit”, Physical Review B, 63:24 (2001), 245119
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