Is the Superconductiong State for the Cuprates Reached Through a Percolation Transition?

Details Is the Superconductiong State for the Cuprates Reached Through a Percolation Transition? Is the Superconductiong State for the Cuprates Reached Through a Percolation Transition?

2003-03-19

arxiv.org/abs/cond-mat/0303398v1

Act. Phys. Pol. B34, 563 (2003)

Physics

Condensed Matter

Superconductivity

Proceedings of the SCES02, Kradow, Poland

Scientific paper

Several recent experiments have revealed that the charge density $\rho$ in a given compound (mostly underdoped) is intrinsic inhomogeneous with large nanoscale spatial variations. Therefore it is appropriate to define a local charge density $\rho(r)$. These differences in the local charge concentration yield insulator and metallic regions, either in an intrinsic granular or in a stripe morphology. In the metallic region, the inhomogeneous charge density produces spatial or local distributions of superconducting critical temperatures $T_c(r)$ and zero temperature gap $\Delta_0(r)$. We propose that the superconducting phase in high-$T_c$ oxides is reached when the temperature reachs a value which superconduction regions with different critical temperatures percolates. We show also that this novel approach is able to reproduce the phase diagram for a family of cuprates and provides new insights on several experimental features of high-$T_c$ oxides

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