Abstract:
The Dyson equation for the two-time thermal Green's functions is used for a self-consistent calculation of the single-particle Green's functions in the Hubbard model. The method makes it possible to obtain a generalized interpolation solution of the Hubbard model valid for arbitrary relationship between the effective band width and the Coulomb repulsion parameter. Two variants of the theory make it possible to obtain two exact representations for the mass operator, which are used to obtain approximate solutions in the atomic and band limits.
Citation:
A. L. Kuzemsky, “Self-consistent theory of electron correlation in the Hubbard model”, TMF, 36:2 (1978), 208–223; Theoret. and Math. Phys., 36:2 (1978), 692–702
\Bibitem{Kuz78}
\by A.~L.~Kuzemsky
\paper Self-consistent theory of electron correlation in the Hubbard model
\jour TMF
\yr 1978
\vol 36
\issue 2
\pages 208--223
\mathnet{http://mi.mathnet.ru/tmf4301}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 36
\issue 2
\pages 692--702
\crossref{https://doi.org/10.1007/BF01036482}
Linking options:
https://www.mathnet.ru/eng/tmf4301
https://www.mathnet.ru/eng/tmf/v36/i2/p208
This publication is cited in the following 13 articles:
A. L. Kuzemsky, “Variational principle of Bogoliubov and generalized mean fields in many-particle interacting systems”, Int. J. Mod. Phys. B, 29:18 (2015), 1530010
Kuzemsky A.L., “Quasiaverages, symmetry breaking and irreducible Green functions method”, Condensed Matter Physics, 13:4 (2010), 43001
A. L. Kuzemsky, “Works by D. I. Blokhintsev and the development of quantum physics”, Phys. Part. Nuclei, 39:2 (2008), 137
A.L. Kuzemsky, J.C. Parlebas, H. Beck, “Non-local correlations and quasiparticle interactions in the Anderson model”, Physica A: Statistical Mechanics and its Applications, 198:3-4 (1993), 606
Chan Minh Tien, “Electron-phonon superconductivity mechanisms in the Hubbard model”, Theoret. and Math. Phys., 91:3 (1992), 650–657
Alexander L. Kuzemsky, “Interpolation solution of the single-impurity Anderson model”, Physics Letters A, 153:8-9 (1991), 466
V. I. Inozemtsev, A. L. Kuzemsky, “Exact solution of the one-dimensional fermion system on a lattice”, Phys. Rev. B, 43:1 (1991), 1090
A. L. Kuzemsky, D. Marvakov, “Excitation spectrum of Heisenberg antiferromagnet at finite temperatures”, Theoret. and Math. Phys., 83:1 (1990), 441–448
D.I. Marvakov, A.L. Kuzemsky, J.P. Vlahov, “A self-consistent theory of the magnetic polaron”, Physica B+C, 138:1-2 (1986), 129
R. O. Zaitsev, E. V. Kuz'min, S. G. Ovchinnikov, “Fundamental ideas on metal-dielectric transitions in 3d-metal compounds”, Phys. Usp., 29:4 (1986), 322–342
A. V. Vedyaev, V. A. Ivanov, “Elementary excitations in the Hubbard model”, Theoret. and Math. Phys., 50:3 (1982), 273–276
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
Contact us: