The functional form of the Tc(x) line in the phase diagram of high temperature superconductors

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Abstract

The critical temperature Tc in high temperature superconductors is proposed to be governed by the geometrical correlations between carriers. A model is put forward for these correlations and the dependence of Tc on the doping x in the phase diagram of La2−x(Sr)xCuO4 is derived near T=0. The model links Tc explicitly to the observed fraction of diamag netic phase p(x). It explains the observed opposite curvatures of Tc(x) and p(x) for heavy doping and agrees with other existing observations.

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