Universal critical behavior in single crystals and films of YBa${}_2$Cu${}_3$O${}_{7-\delta }$

Abstract

We have studied the normal-to-superconducting phase transition in optimally-doped YBa${}_2$Cu${}_3$O${}_{7-\delta }$ in zero external magnetic field using a variety of different samples and techniques. Using DC transport measurements, we find that the dynamical critical exponent $z=1.54\pm 0.14$, and the static critical exponent $\nu =0.66\pm 0.10$ for both films (when finite-thickness effects are included in the data analysis) and single crystals (where finite-thickness effects are unimportant). We also measured thin films at different microwave frequencies and at different powers, which allowed us to systematically probe different length scales to avoid finite-thickness effects. DC transport measurements were also performed on the films used in the microwave experiments to provide a further consistency check. These microwave and DC measurements yielded a value of z consistent with the other results, $z=1.55\pm 0.15$. The neglect of finite-thickness, finite-current, and finite-frequency effects may account for the wide ranges of values for $\nu$ and $z$ previously reported in the literature.

arXiv comment13 pages and 12 figures

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Cited by in corpus (5)

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• Vortex Lattice Melting and Hc2 in underdoped YBa2Cu3Oy
• A broadband microwave Corbino spectrometer at ${}^3$He temperatures and high magnetic fields
• Scaling analysis of the static and dynamic critical exponents in under, over, and optimally-doped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-y}$ films
• Role of non-linear effects and standing waves in microwave spectroscopy: Corbino measurements on superconductors and VO${}_2$