ABOUT LONG RANGE PAIRING CORRELATIONS IN THE HUBBARD AND U-t-t’ MODELS

E. Vigezzi, P. F. Bortignon, G. Colò +4 more

J. H. Jefferson

JAMES T. LIU, D.F. WANG

We consider the SU (m|n) supersymmetric generalization of the one-dimensional SU (2|2) symmetric extended Hubbard model of 1/r2 interaction. This model, defined on a lattice, is part of a large family of integrable one-dimensional multicomponent systems with long range interactions. We study both uniform and nonuniform lattices and present the ground state wavefunctions and energy spectra of these models. In both cases the spectrum is highly degenerate, with the SU (m|n) supersymmetry explaining most of the degeneracies.

Luis Antonio Pérez, C. Wang

Andreas Osterloh, Luigi Amico A, Ulrich Eckern

Integrable long-range correlations and generalized statistics / A. Osterloh, L. Amico, U. Eckern. – In: Symmetry and structural properties of condensed matter : 6. International School on Theoretical Physics, Myczkowce, Poland, 31 Aug.-6 Sept. 2000 / ed. T. Lulek ... - Singapore u.a. : World Scientific, 2001. – S. 275-279

Alexander Alexandrovich Biryukov, И. В. Дегтярева, Марк Александрович Шлеенков

In this article phase transitions in the modified two-dimensional Ising model with long-range correlations investigated. This model was studied with Monte-Carlo method and Metropolis algorithm. Critical temperature increase is shown in such model.