Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors

Nogueira, Flavio S.; Manske, Dirk

doi:10.1103/physrevb.72.014541

Cited by 9 publications

(5 citation statements)

References 45 publications

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“…Fisher, Fisher, and Huse [1] argue that the number of Cooper pairs is not conserved, so that model A dynamics [3], which give z = 2, should apply. Other theoretical considerations yield z = 1.5 [4], similar to model E dynamics. Lidmar [5] and Weber [6] present Monte Carlo simulations that suggest z ≈ 1.5.…”

Section: Introductionsupporting

confidence: 52%

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: Introductionsupporting

confidence: 52%

Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Anlage

et al. 2009

Phys. Rev. B

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“…18,27 AC measurements have found both diffusive dynamics (z = 2) 28 as well as Model E dynamics 16 (z = 1.5). 29 Our recent results in YBCO find z = 1.5±0.2 for both dc and ac conductivity measurements in crystals and films, when we account for finite size effects. 15 To properly account for finite size effects in dc measurements, we must limit ourselves to the high current regime (J > 10 6 A/m 2 ) to determine the dynamic critical exponent z.…”

Section: Dynamic Critical Exponentmentioning

confidence: 81%

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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“…[20] There is clearly a lack of consensus on the dynamic fluctuations of the superconducting transition. Theory also lacks consensus, with strong arguments made for both z = 1.5 [21,22,23] and z = 2. [24] Further work to extract a value for z, and to establish its validity, is necessary.…”

Section: Introductionmentioning

confidence: 99%

Dynamical scaling of $YBa_2Cu_3O_{7-δ}$ thin film conductivity in zero field

Xu,

Li,

Lobb

et al. 2008

Preprint

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We study dynamic fluctuation effects of Y Ba2Cu3O 7−δ thin films in zero field around Tc by doing frequency-dependent microwave conductivity measurements at different powers. The length scales probed in the experiments are varied systematically allowing us to analyze data which are not affected by the finite thickness of the films, and to observe single-parameter scaling. DC currentvoltage characteristics have also been measured to independently probe fluctuations in the same samples. The combination of DC and microwave measurements allows us to precisely determine critical parameters. Our results give a dynamical scaling exponent z = 1.55±0.15, which is consistent with model E-dynamics.

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Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors

Cited by 9 publications

References 45 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

Dynamical scaling of $YBa_2Cu_3O_{7-δ}$ thin film conductivity in zero field

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