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Coexistence of the "metallic-like" in-plane and the "semiconducting-like"out-of-plane (caxis) dc conductivities ({\sigma}c), generating a hugeanisotropy in the underdoped hightemperature cuprate superconductors (HTCS),defies our current understanding of metal. In this report we present anintrinsic doping dependence of {\sigma}c. We find that the {\sigma}c for theunderdoped HTCS is universally scaled to the {\sigma}c at the optimaldoped-hole concentration. The universal scaling behavior suggests that thereare three intrinsic processes contribute to {\sigma}c: (i) thedoping-dependent-activated gap; (ii) the exponential doping dependences and(iii) the tunneling between adjacent CuO2 block layers. They are the essentialunderlying characteristics of the c-axis transport for all HTCSs.

Universal scaling of c-axis dc conductivity for the underdoped hightemperature cuprate superconductors