Abstract:
For the example of the Hubbard model, it is shown that a “symmetry tower” exists in strongly correlatexl systems. As a consequence,
“models” with strong intereleetron interaction are more appropriately regarded as generators of models. Dynamical algebras that form the tower are found. It is conjectured that the solution to the currently most complicated problem of strong interelectron correlation reduces to analysis of the category of the groups that determine the specific symmetry tower.
\Bibitem{Zha92}
\by V.~M.~Zharkov
\paper Symmetry tower in the Hubbard model
\jour TMF
\yr 1992
\vol 90
\issue 1
\pages 75--83
\mathnet{http://mi.mathnet.ru/tmf5507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1162304}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 1
\pages 49--54
\crossref{https://doi.org/10.1007/BF01018818}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JP02000007}
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This publication is cited in the following 5 articles:
V. M. Zharkov, “The functional integral in the Hubbard model”, Theoret. and Math. Phys., 172:3 (2012), 1300–1314
Zharkov V., “Description of Conductivity Steps in Polymer and Other Materials by Functions of P-Adic Argument”, Physica Status Solidi C: Current Topics in Solid State Physics, Vol 9, No 5, Physica Status Solidi C-Current Topics in Solid State Physics, 9, no. 5, ed. Swietlik R., Wiley-V C H Verlag Gmbh, 2012, 1219–1221
V. M. Zharkov, V. S. Kirchanov, “Supergroup approach to the Hubbard model”, Theoret. and Math. Phys., 166:2 (2011), 210–223
Kirchanov V.S., Zharkov V.M., “Effective Functional for the Supercoherent State of Spinless Algebra in the Hubbard Model”, Russian Physics Journal, 54:6 (2011), 658–667