SUPERCONDUCTIVITY, SPIN AND CHARGE DENSITY STRUCTURES IN ONE AND TWO-DIMENSIONAL SELF-CONSISTENT MODELS
Abstract
We review some analytical results of our studies of the charge- and spin density modulations (CDW and SDW) in a one- and two-dimensional electron systems. Self-consistent solutions of Bogoliubov- de Gennes equations for spin-charge solitonic superstructure and superconducting state are obtained in the framework of one and two-dimensional extended Hubbard models. Possible correspondence of the theory with experimental data on stripe phase in high Tc cuprates is discussed. We found various solutions for the two-dimensional self-consistent model of superconductors with dx2-y2 symmetry of the order parameter, taking into account spin and charge distributions. Analytical solutions for spin-charge density wave phases in the absence of the superconductivity ("stripe" and "checkerboard" structures) are presented. Analytical solutions for coexisting superconductivity and stripe-phase modulations in the cores of the Abrikosov's vortices are also found.
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