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- W151582021 abstract "We have studied the electrical transport in the ${mathrm{PrBa}}_{2}$${mathrm{Cu}}_{3}$${mathrm{O}}_{7}$-Ag percolation system. The resistivity ratio of the former to the latter, ${mathrm{ensuremath{rho}}}_{mathrm{Pr}}$ 1:2:3/${mathrm{ensuremath{rho}}}_{mathrm{Ag}}$, had been systematically ``tuned'' by performing the resistance measurements at various selected temperatures between 30 and 300 K. The critical volume fraction ${mathrm{ensuremath{varphi}}}_{mathit{c}}$ and a best value of the t exponent in the sample resistivity ensuremath{rho}ensuremath{propto}(ensuremath{varphi}-${mathrm{ensuremath{varphi}}}_{mathit{c}}$${)}^{mathrm{ensuremath{-}}mathit{t}}$ above the percolation threshold were determined, where ensuremath{varphi} is the Ag volume fraction. We find that ${mathrm{ensuremath{varphi}}}_{mathit{c}}$=0.135ifmmodepmelsetextpmfi{}0.005 and t=1.91ifmmodepmelsetextpmfi{}0.02. In addition, based on the results obtained at various measuring temperatures or ${mathrm{ensuremath{rho}}}_{mathrm{Pr}1:2:3}$/${mathrm{ensuremath{rho}}}_{mathrm{Ag}}$, we show that the value of t extracted by presuming the above simple power-law behavior can be substantially smaller than the predicted value (ensuremath{approxeq}2.0) if ${mathrm{ensuremath{rho}}}_{mathrm{Pr}1:2:3}$/${mathrm{ensuremath{rho}}}_{mathrm{Ag}}$ is not sufficiently large. The scaling behavior of (${mathrm{ensuremath{rho}}}_{mathrm{Ag}}$/ensuremath{rho})ensuremath{Vert}ensuremath{varphi}-${mathrm{ensuremath{varphi}}}_{mathit{c}}$${mathrm{ensuremath{Vert}}}^{mathrm{ensuremath{-}}mathit{t}}$ as a function of (${mathrm{ensuremath{rho}}}_{mathrm{Ag}}$/${mathrm{ensuremath{rho}}}_{mathrm{Pr}}$ 1:2:3)ensuremath{Vert}ensuremath{varphi}-${mathrm{ensuremath{varphi}}}_{mathit{c}}$${mathrm{ensuremath{Vert}}}^{mathrm{ensuremath{-}}(mathit{t}+mathit{s})}$ has then been investigated, where s is the critical exponent governing the divergence of conductivity in a superconductor--normal-metal composite." @default.
- W151582021 created "2016-06-24" @default.
- W151582021 creator A5081061270 @default.
- W151582021 date "1991-07-01" @default.
- W151582021 modified "2023-09-30" @default.
- W151582021 title "<i>t</i>exponent in the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>PrBa</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml…" @default.
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- W151582021 doi "https://doi.org/10.1103/physrevb.44.789" @default.
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