Abstract
We introduce a generic Fröhlich-Coulomb model of the oxides,which also includes infinite on-site (Hubbard) repulsion, anddescribe a simple analytical method of solving the multi-polaronproblem in complex lattice structures. Two particular lattices,a zigzag ladder and a perovskite layer, are studied. We findthat, depending on the relative strength of the Fröhlich andCoulomb interactions, these systems are either polaronic Fermi(or Luttinger) liquids, bipolaronic superconductors, or charge-segregated insulators. In the superconducting phase the carriersare superlight mobile bipolarons. The model describes keyfeatures of the cuprates such as their Tc-values, the isotopeeffects, the normal-state diamagnetism, the pseudogap, and spectralfunctions measured in tunnelling and photoemission. We arguethat a low Fermi energy and strong coupling of carriers withhigh-frequency phonons is the cause of high criticaltemperatures in novel superconductors.
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