Abstract:
A simple derivation is given of the equation for the matrix electron Green's function in
a superconductor for an arbitrary form of the electron-lattice interaction. A closed
system of equations is obtained by ignoring the renormalization of the vertex in the
mass operator; in it, the effective electron interaction is described by the total
dynamical structure form factor of the lattice.
Citation:
G. M. Vuiichich, Z. K. Petru, N. M. Plakida, “Derivation of the equations of superconductivity in an electron-ion model of a metal”, TMF, 46:1 (1981), 91–98; Theoret. and Math. Phys., 46:1 (1981), 60–65
\Bibitem{VuiPetPla81}
\by G.~M.~Vuiichich, Z.~K.~Petru, N.~M.~Plakida
\paper Derivation of the equations of superconductivity in an electron-ion model of a~metal
\jour TMF
\yr 1981
\vol 46
\issue 1
\pages 91--98
\mathnet{http://mi.mathnet.ru/tmf2301}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 46
\issue 1
\pages 60--65
\crossref{https://doi.org/10.1007/BF01019450}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MH85700009}
Linking options:
https://www.mathnet.ru/eng/tmf2301
https://www.mathnet.ru/eng/tmf/v46/i1/p91
This publication is cited in the following 6 articles:
N. M. Plakida, “Two-time Green's functions in superconductivity theory”, Theoret. and Math. Phys., 154:1 (2008), 108–122
A. Yu. Cherny, “The influence of the critical fluctuations under the structural phase transition on the superconducting pairing”, Theoret. and Math. Phys., 107:1 (1996), 550–559
Chan Minh-Tien, N.M. Plakida, “Superconductivity in the two-band Emery model”, Physica C: Superconductivity, 206:1-2 (1993), 90
N. N. Bogolyubov, V. L. Aksenov, N. M. Plakida, “On the theory of high-temperature superconductivity”, Theoret. and Math. Phys., 93:3 (1992), 1337–1344
N. M. Plakida, A. Yu. Cherny, “Isotopic effect in a superconductor with structural phase transition”, Theoret. and Math. Phys., 84:1 (1990), 758–763
G. M. Vuiichich, A. L. Kuzemsky, N. M. Plakida, “Equations of superconductivity for transition metals in the Wannier representation”, Theoret. and Math. Phys., 53:1 (1982), 1035–1040
Citation in format AMSBIB
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