A supersymmetric mean-field approach to the infinite-U Hubbard model Abstract A generalized supersymmetric representation of the Hubbard operator algebra is considered. This representation is applied to the infinite-U Hub-bard model. A mean-field theory which takes into account both on-site and inter-site virtual boson-fermion transitions is developed. Unlike previous approaches , the mean-fiel...

We propose a theoretical framework to describe the ladder systems. The N-chain Hubbard model has been studied within the Composite Operator Method. In this scheme of calculations the single-particle Green’s function for any number of coupled chains is obtained by solving self-consistently a system of integral equations.

We study a simple model of interacting bosons on $d$-dimensional cubic lattice whose dynamics conserves both total boson number and dipole moment. This provides framework in which several remarkable consequences conservation can be explored. As function chemical potential hopping strength, the tuned between gapped Mott insulating phases various types gapless condensates. The condensed phase rea...

Based on the tetrahedral Zamolodchikov algebra, we prove the Yang-Baxter equation for the R-matrix of 1-D SU(n) Hubbard model. Furthermore, we present generalizations of the model. Keyword: Hubbard model, R-matrix, tetralhedral Zamolodchikov algebra

Using an attractive Hubbard model we examine spatial variations of superconducting order parameter and local charge on a two dimensional lattice. For various band filling we show the effect of destruction of the order parameter around a non-magnetic impurity. In case of a half-filled system such destruction is accompanied by appearance of characteristic charge variations around the impurity wit...