Universal behavior of susceptibility in the 110 K phase of the Bi-Pb-Sr-Ca-Cu-O system.

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We demonstrate here the universal behavior of the fundamental intergranular matrix susceptibility (${\mathrm{\ensuremath{\chi}}}_{\mathit{m}}$) in terms of a single parameter (\ensuremath{\delta}) in the 110 K phase of the Bi-Sr-Ca-Cu-O system, in the regime where flux profile is linear in the sample. Following the observation of universality of the third harmonic susceptibility ${\mathrm{\ensuremath{\chi}}}_{3}$(T,${\mathit{H}}_{\mathrm{dc}}$${)}_{\mathit{H}\mathrm{ac}}$ by Shatz et al. in Y-Ba-Cu-O, we have examined the field and temperature dependences of \ensuremath{\chi}(${\mathit{H}}_{\mathrm{dc}}$,${\mathit{H}}_{\mathrm{ac}}$${)}_{\mathit{T}}$ and \ensuremath{\chi}(T,${\mathit{H}}_{\mathrm{dc}}$${)}_{\mathit{H}\mathrm{ac}}$, respectively, measured in ${\mathrm{Bi}}_{1.2}$${\mathrm{Pb}}_{0.3}$${\mathrm{Sr}}_{1.5}$${\mathrm{Ca}}_{2}$${\mathrm{Cu}}_{3}$${\mathrm{O}}_{\mathit{y}}$ superconductor. Our analysis shows that the field dependence of ${\mathit{J}}_{\mathit{c}}$ is better described, for the present sample, by the power-law model and also demonstrates the universality of ${\mathrm{\ensuremath{\chi}}}_{\mathit{m}}$ in terms of \ensuremath{\delta}.