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We generalize the standard attractive Hubbard, having an on-site pair creation operator Q_{i} = a_{i↑}a_{i↓}, to one with n components Q_{iα} = a_{iα↑}a_{iα↓}, α=1,2,...,n. In the limit n → ∞ we obtain the Ginzburg-Landau functional. On this basis we explore the crossover from weak (BCS) to strong coupling (Bose-Einstein condensation) superconductivity. The associated self-consistent equations for...
The three-band Emery model, describing the holes in the CuO_{2} planes of the high-temperature superconducting oxides, is considered. The model includes the direct oxygen-oxygen hopping integral t_{pp}. The exact Bogolyubov transformation is used to exclude one oxygen band and obtain a two-dimensional Anderson model. Afterward, the effective Hamiltonian is obtained by eliminating the second oxygen...
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