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Transverse conductivity in Pr\(_y\)Y\(_{1-y}\)Ba\(_2\)Cu\(_3\)O\(_{7-\delta }\) single crystals in a wide range of praseodymium concentrations

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Abstract

The electrical resistance across the layers of high-quality Pr\(_y\)Y\(_{1-y}\)Ba\(_2\)Cu\(_3\)O\(_{7-\delta }\) single crystals is measured in the temperature interval \(T_{{\rm c}} - 300\) K and the praseodymium concentration range \(0 \le y \le 0.5\). The experimental data are approximated by a relation accounting for the fluctuation conductivity in the 3D Aslamazov–Larkin model, a metal-like contribution limited by scattering on impurities and phonons for \(0 \le y \le 0.23\), as well as a semiconductor-like contribution for \(0.23 \le y \le 0.5\), where the carriers mobility is determined by scattering on ionized impurities. Our analysis of the concentration dependences of the fitting parameters shows that at \(0.23 \le y \le 0.5\) the samples are heterogeneous and the conductivity is realized by variable-range hopping between regions with different praseodymium concentrations. The in-plane coherence length \(\xi _{xy}(0)\) amounts to 100 Å.

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Authors and Affiliations

  1. Physics Department, V. Karazin National University, Kharkiv, Ukraine

    Ruslan V. Vovk, Georgij Ya. Khadzhai & Oleksandr V. Dobrovolskiy

  2. Physikalisches Institut Goethe University, Frankfurt am Main, Germany

    Oleksandr V. Dobrovolskiy

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  1. Ruslan V. Vovk
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  2. Georgij Ya. Khadzhai
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  3. Oleksandr V. Dobrovolskiy
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Correspondence to Oleksandr V. Dobrovolskiy.

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Vovk, R.V., Khadzhai, G.Y. & Dobrovolskiy, O.V. Transverse conductivity in Pr\(_y\)Y\(_{1-y}\)Ba\(_2\)Cu\(_3\)O\(_{7-\delta }\) single crystals in a wide range of praseodymium concentrations. Appl. Phys. A 117, 997–1002 (2014). https://doi.org/10.1007/s00339-014-8670-2

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