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

2003/03/19 by E. V. L. de Mello, E. S. Caixeiro, J. L. González
Physics and Astronomy · #cond-mat.supr-con

paper · pdf

published as Act. Phys. Pol. B34, 563 (2003) · Proceedings of the SCES02, Kradow, Poland

arxiv created 2003/03/19 · arxiv updated 2009/11/30

Abstract

Several recent experiments have revealed that the charge density ρ in a given compound (mostly underdoped) is intrinsic inhomogeneous with large nanoscale spatial variations. Therefore it is appropriate to define a local charge density ρ(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 Tc(r) and zero temperature gap Δ0(r). We propose that the superconducting phase in high-Tc 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-Tc oxides

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