Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2001-10-11
published in Nucl. Phys. B 592 [FS] (2001), 563
Physics
Condensed Matter
Strongly Correlated Electrons
25 pages, 2 figures
Scientific paper
10.1016/S0550-3213(00)00598-8
We investigate integrable fermionic models within the scheme of the graded Quantum Inverse Scattering Method, and prove that any symmetry imposed on the solution of the Yang-Baxter Equation reflects on the constants of motion of the model; generalizations with respect to known results are discussed. This theorem is shown to be very effective when combined with the Polynomial $\Rc$-matrix Technique (PRT): we apply both of them to the study of the extended Hubbard models, for which we find all the subcases enjoying several kinds of (super)symmetries. In particular, we derive a geometrical construction expressing any $gl(2,1)$-invariant model as a linear combination of EKS and U-supersymmetric models. Furtherly, we use the PRT to obtain 32 integrable $so(4)$-invariant models. By joint use of the Sutherland's Species technique and $\eta$-pairs construction we propose a general method to derive their physical features, and we provide some explicit results.
Dolcini Fabrizio
Montorsi Arianna
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