$\eta$-superconductivity in the one-dimensionnal pair hopping model

Abstract

Using exact Lanczos diagonalizations we have shown that the pair-hopping model for {\it negative} $W$ exhibits a phase transition into $\eta$-{\it superconducting state}. The transition occurs at {\it any band filling} and the critical value $W_c$ varies between $W_c\simeq -1.75t$ at half-filling to $W_c\simeq -2t$ for two particles on the lattice.

the postscript files of the figures are included (5 figures)

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