Abstract

In the framework of a two-component Φ 4-lattice model structural phase transitions are considered. It was found that both long-range ordered phases and glassy-like states can be described in this model. On the basis of the standard Eliashberg theory the phonon-driven superconducting transition of electrons in a single band is investigated. To do this, the electron-phonon coupling is taken linear and quadratic in the fluctuations of the lattice order parameters. The dependence of the superconducting transition temperature and the isotope effect on the defect concentration is discussed for various parameter sets. Different qualitative features are obtained. Tje La 2− x Sr x CuO 4 is taken as a reference system.

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