Fluctuating order parameter in doped cuprate superconductors

Physics – Condensed Matter – Superconductivity

Scientific paper

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RevTex4, 3 pages, to be published in Proceedings of New3SC-4 International Conference, San Diego, California, January 15-21, 2

Scientific paper

10.1142/S0217979203021484

We discuss static fluctuations of the d-wave superconducting order parameter $\Delta$ in CuO$_2$ planes, due to quasiparticle scattering by charged dopants. The analysis of two-particle anomalous Green functions at $T = 0$ permits to estimate the mean-square fluctuation $\delta^2 = <\Delta^2> - <\Delta>^2$, averaged in random dopant configurations, to the lowest order in doping level $c$. Since $\Delta$ is found to saturate with growing doping level while $\delta$ remains to grow, this can explain the collapse of $T_c$ at overdoping. Also we consider the spatial correlations $<\Delta(0)\Delta({\bf R})>$ for order parameter in different points of the plane.

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