Zero-field superconducting phase transition obscured by finite-size effects in thick<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">YBa</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn>7</mml:mn><mml:mo>−</mml:mo><mml:mi>δ</mml:mi></mml:mrow></mml:msub></mml:m

Sullivan, M. C.; Strachan, Douglas R.; Frederiksen, Thomas; Ott, R.; Lilly, M.; Lobb, C. J.

doi:10.1103/physrevb.69.214524

Cited by 6 publications

(15 citation statements)

References 47 publications

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“…However, high-current data are not affected by finite-size effects, and we can extract the T c and z from the high-current regime. 19 If we only look at the highcurrent regime in Fig. 5͑b͒, it looks very similar to the schematic derivative plot ͓Fig.…”

Section: DC Measurements On Single Crystals and Filmsmentioning

confidence: 75%

“…5. 19 From this data it is clear that when the current density is smaller than 1 ϫ 10 6 A / m 2 , the sample will have only ohmic response around T c . The −46 dBm applied power in the ac measurement corresponds to a maximum current density of 2.2ϫ 10 5 A / m 2 ͑Ͻ1 ϫ 10 6 A / m 2 ͒.…”

Section: Ac and DC Experiments On The Same Samplementioning

confidence: 84%

“…19,33 Below the transition temperature, thermal fluctuations take the form of vortex loops. 34 As discussed in the Appendix, vortex loops with length scales of order…”

Section: DC Measurements On Single Crystals and Filmsmentioning

confidence: 99%

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Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Anlage

et al. 2009

Phys. Rev. B

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We have studied the normal-to-superconducting phase transition in optimally doped YBa 2 Cu 3 O 7−␦ 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 = 1.54Ϯ 0.14, and the static critical exponent = 0.66Ϯ 0.10 for both films ͑when finite-thickness effects are included in the data analysis͒ and single crystals ͑where finitethickness effects are unimportant͒. 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 = 1.55Ϯ 0.15. The neglect of finite-thickness, finite-current, and finite-frequency effects may account for the wide ranges of values for and z previously reported in the literature.

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Section: DC Measurements On Single Crystals and Filmsmentioning

confidence: 75%

Section: Ac and DC Experiments On The Same Samplementioning

confidence: 84%

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Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Anlage

et al. 2009

Phys. Rev. B

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“…Moreover, we find that at low currents, the phase transition is obscured by finite-size effects, similar to results in YBCO. 14,17,18 …”

Section: Introductionmentioning

confidence: 99%

Scaling analysis of the static and dynamic critical exponents in underdoped, overdoped, and optimally dopedPr2−xCexCuO4

Sullivan¹,

Isaacs²,

Salvaggio³

et al. 2010

Phys. Rev. B

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We report on current-voltage measurements of the zero-field normal-superconducting phase transition in thin films of Pr 2−x Ce x CuO 4−y as a function of doping. We find that the small size of the critical regime in these materials ͑Ϸ25 mK͒ gives rise to mean-field behavior at the phase transition with a static exponent of Ϸ 0.5 for all dopings ͑in contrast to hole-doped YBa 2 Cu 3 O 7−␦ ͒. We also find mean-field behavior in the dynamic exponent z. This indicates that Pr 2−x Ce x CuO 4−y behaves similarly to conventional superconductors in contrast to other cuprate superconductors. However, as the transition width in our samples decreases, the dynamic critical exponent approaches z = 1.5, similar to the critical exponent found in hole-doped YBa 2 Cu 3 O 7−␦ .

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“…However, if noise is still a problem, wider bridges should show different E − J curves. We have measured bridges of different widths, 18 and have found that for typical filtering (3 dB at 2 kHz), the E − J curves for bridges of different widths (and thus different noise current densities) are identical, indicating that our low-pass π filters are sufficient filtering.…”

mentioning

confidence: 99%

Normal-superconducting phase transition mimicked by current noise

et al. 2004

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As a superconductor goes from the normal state into the superconducting state, the voltage vs. current characteristics at low currents change from linear to non-linear. We show theoretically and experimentally that the addition of current noise to non-linear voltage vs. current curves will create ohmic behavior. Ohmic response at low currents for temperatures below the critical temperature Tc mimics the phase transition and leads to incorrect values for Tc and the critical exponents ν and z. The ohmic response occurs at low currents, when the applied current I0 is smaller than the width of the probability distribution σI , and will occur in both the zero-field transition and the vortex-glass transition. Our results indicate that the transition temperature and critical exponents extracted from the conventional scaling analysis are inaccurate if current noise is not filtered out. This is a possible explanation for the wide range of critical exponents found in the literature.

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Zero-field superconducting phase transition obscured by finite-size effects in thickYBa2Cu3O7−δ

Cited by 6 publications

References 47 publications

Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Scaling analysis of the static and dynamic critical exponents in underdoped, overdoped, and optimally dopedPr2−xCexCuO4

Normal-superconducting phase transition mimicked by current noise

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