Evidence for three dimensional superconductivity in the cuprates oxides

Details Evidence for three dimensional superconductivity in the cuprates oxides Evidence for three dimensional superconductivity in the cuprates oxides

2001-10-09

arxiv.org/abs/cond-mat/0110173v1

Physics

Condensed Matter

Superconductivity

4 pages, 3 figures

Scientific paper

We review the empirical scenario emerging from the measured doping dependence of the transition temperature and the anisotropy parameter $% \gamma $ $=\xi _{ab}/\xi_{c}$, defined as the ratio of the correlation lengths parallel and perpendicular to the ab-planes. It suggests that two dimensional models cannot explain the occurrence of superconductivity in the cuprates. This conclusion is confirmed and extended in terms of a novel scaling relation. It involves the transition temperature, the aerial superfluid density in the ground state, $\gamma $ and the dynamic critical exponent of the quantum superconductor to insulator transition. The important implication there is that a non vanishing superfluid density in the ground state of the cuprates is unalterably linked to an anisotropic but 3D condensation mechanism.

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