The possibility of polaron formation within a model of local electron-phonon interactions is considered. It is shown that, unlike the continuous limit, the solution to the Schrodinger equation on a two-dimensional lattice in the adiabatic approximation provides evidence for the presence of an energy barrier that separates a small-size polaron and delocalized electronic state. The polaron stability and metastability regions are determined. The possibility of polaron formation in high-T, superconductors is discussed.
We propose a microscopic theory of the 'c'-axis and in-plane transport of copper oxides based on the bipolaron theory and the Boltzmann kinetics. The fundamental relationship between the anisotropy and the spin susceptibility is derived,The temperature (T ) and doping (x) dependence of the in-plane, ρ ab and out-of-plane, ρ c resistivity and the spin susceptibility, χ s are found in a remarkable agreement with the experimental data in underdoped, optimally and overdoped La 2−x Sr x CuO 4 for the entire temperature regime from T c up to 800K. The normal state gap is explained and its doping and temperature dependence is clarified.
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