Clear distinction between the underdoped and overdoped regime in theTcsuppression of Cu-site-substituted high-Tccuprates

The ${\mathit{T}}_{\mathit{c}}$ suppression by Cu-site substitution has been studied in a wide range of carrier concentrations p, from the underdoped regime to the overdoped regime, using sintered polycrystals of ${\mathrm{Bi}}_2$ ${\mathrm{Sr}}_2$ ${\mathrm{Ca}}_{1\mathrm{-}\mathit{x}}$ ${\mathrm{Y}}_{\mathit{x}}$(${\mathrm{Cu}}_{1\mathrm{-}\mathit{z}}$ ${\mathit{M}}_{\mathit{z}}$ ${)}_2$ ${\mathrm{O}}_{8+\mathrm{\delta }}$ with x=0 and x=0.3 and under variation of δ. The carrier-dependent strength of the ${\mathit{T}}_{\mathit{c}}$ suppression by substituting M=Fe, Co, Ni, Zn for Cu is measured. In the overdoped regime, we find ${\mathit{T}}_{\mathit{c}}$ scaling as ${\mathit{T}}_{\mathit{c}}$(p,z)/${\mathit{T}}_{\mathit{c}}$(p,0)=g(z) with a p-independent function g(z), whereas in the underdoped regime ${\mathit{T}}_{\mathit{c}}$(p,z)/${\mathit{T}}_{\mathit{c}}$(p,0) is strongly p dependent. Replotting data of various publications on the ${\mathrm{La}}_{2\mathrm{-}\mathit{x}}$ ${\mathrm{Sr}}_{\mathit{x}}$ ${\mathrm{CuO}}_4$ system and comparison with the ${\mathrm{YBa}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_{7\mathrm{-}\mathrm{\delta }}$ system demonstrate the universality of this distinction between the two regimes in p-type high-${\mathit{T}}_{\mathit{c}}$ cuprates. The scaling behavior is discussed with respect to Born-limit and unitarity-limit scattering.