Abstract:
A self-consistent theory has been constructed for describing a superconductor with a $d_{x^2-y^2}$ charge density wave caused by the appearance of a dielectric gap in antinodal sections of the two-dimensional Fermi surface. The theory explains some key features of high-temperature oxides. In particular, it has been shown that the observed large values of the ratio $2\Delta(T=0)/T_c$ are associated with the stronger suppression of the critical temperature $T_c$ of the superconducting transition rather than the superconducting gap $\Delta$ at low temperatures $T$ under the action of charge density waves. It has been predicted that there can exist two critical temperatures of the appearance and disappearance of the dielectric order parameter $\Sigma(T)$ in a specific range of bare parameters of the model.
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