Hyperbolic pairing and stripes in high-temperature superconductors

We suggest that pairing of holes in high-T-C cuprates is directly related to special features of the electronic structure of such quasi-two-dimensional compounds, namely, strong nesting of the Fermi contour situated in extended flat-band vicinity of saddle points of electron dispersion and specific spatial stripe hole self-organization partly restoring antiferromagnetic ordering. Due to hyperbolic metrics of k-space, the relative motion of a pair with large momentum may result in a rise of both quasi-stationary states which explains a pseudogap, in the quasiparticle spectrum and a condensate of pairs corresponding to the superconducting state with the condensation being mainly driven by kinetic energy of carriers, Repulsion-induced hyperbolic pairing conception allows one to explain qualitatively some fundamental features of high-T-C cuprates. (C) 2001 Published by Elsevier Science B.V.