Finite-size effects on the vortex-glass transition in thin<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: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:mat

Wöltgens, P. J. M.; Dekker, Cees; Koch, R. H.; Hussey, B. W.; Gupta, Arunava

doi:10.1103/physrevb.52.4536

Cited by 44 publications

(27 citation statements)

References 34 publications

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“…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%

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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“…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%

Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Anlage

et al. 2009

Phys. Rev. B

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“…It is worthy to note that this U*(J) ''saturation'' is not caused by a finite size effect. 17 The crossover in the U*(J) dependence described here occurs at relatively high J, where the J-dependent probing length is much lower than the film thickness. The crossover in U*(J) was also observed in magnetic relaxation experiments performed above the second magnetization peak of large, disordered crystals.…”

Section: Rapid Communicationsmentioning

confidence: 76%

Nondiverging vortex pinning barriers at low current densities across the putative elastic vortex-glass–vortex-liquid transition inYBa2Cu3
Miu
¹
,
Basset
²
,
Jakob
³

et al. 2001
Phys. Rev. B
6
0
2
0
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A detailed analysis of the electric field-current density (EϪJ) characteristics of YBa 2 Cu 3 O 7Ϫ␦ films across the putative thermally induced elastic vortex-glass-vortex-liquid transition predicted by the E(J) curve scaling reveals that the expected increase of the collective pinning barriers with decreasing J is cut off in the low-J region, signaling a dissipation process which involves the plastic deformation of the vortex system. The temperature and magnetic field dependence of the pinning barriers at low J does not change across the scaling-predicted glass transition line. For the investigated magnetic field range ͑0.5-7 T͒, over a relatively large temperature interval, in YBa 2 Cu 3 O 7Ϫ␦ films there appears a continuous crossover in a pinned plastic vortex assembly, rather than a thermally induced elastic vortex-glass-vortex-liquid transition.

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“…Other work indicates poor scaling or no transition at all in very thin films. 46 Ando et al 15 report low values of and high values of z for very narrow tracks (ϭ0.7,zϭ9.7, for 0.5 m; ϭ1.2,zϭ5.6 for 5.6 m). It is very clear that sample geometry affects the exponents.…”

Section: Discussionmentioning

confidence: 99%

“…Many authors have since demonstrated that dc and ac response data from superconducting single crystals and c-axis normal thin films obeys the class of scaling expected on general grounds if the physical processes leading to the transition are dependent on a single scale length and a single time scale. 7,[43][44][45][46] However, the existence of scaling does not, by itself, prove beyond doubt that there is a thermodynamic phase transition; nor does it lead directly to an understanding of the mathematical form of the two functions onto which the data collapse under scaling. 8,13,[47][48][49][50] …”

Section: A Theoretical Ideasmentioning

confidence: 99%

Anisotropic in-plane properties of (103)/(013) orientedYBa2Cu3O
Campion
¹
,
King
²
,
Benedict
³

et al. 2000
Phys. Rev. B
7
0
1
0
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YBa 2 Cu 3 O 7Ϫ␦ ͑YBCO͒ grows upon ͑110͒ oriented SrTiO 3 substrates with two equivalent tilt orientations and exhibits regions of each 45°tilt. If the substrate orientation is ''miscut'' from the exact ͑110͒ orientation, the two tilts are no longer energetically equivalent, enabling the fabrication of films with controllable tilt disorder. We have carried out a comparative study of ͑103͒/͑013͒ YBCO films deposited onto exact cut (0°) substrates, and onto 3°and 5°miscut substrates where the proportion of minority tilt is about 5% and 2%, respectively. The two-temperature sputter growth process that has been developed yields films which are essentially free of the ͑110͒ orientation and which have normal-state resistivities 001 comparable to a for a high-quality single crystal. In the superconducting state the three classes of film each exhibit features characteristic of a phase transition for both the ͓001͔ and the orthogonal transport current directions. Data from the 0°a nd 5°films exhibit excellent scaling collapse over very wide ranges of temperature; data from the 3°films scale somewhat less well. Surprisingly, the transition temperatures differ significantly between the two transport directions in the 0°films at all magnetic fields investigated and in the 3°films at higher fields. The nonuniversality of the scaling parameters, the very high values of the exponent z, and the dependence of the transition temperature on transport direction cast doubt on a conventional interpretation in terms of a vortexglass melting transition. Studies of the Ohmic behavior of the 5°films show an in-plane anisotropy which remains constant as the system passes from the normal state, through the superconducting flux flow regime to the Ohmic thermally activated flux creep region. This constancy is consistent with the anisotropy in the vortex damping being equal to the normal-state anisotropy.

show abstract

Finite-size effects on the vortex-glass transition in thinYBa2Cu3

Cited by 44 publications

References 34 publications

Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Nondiverging vortex pinning barriers at low current densities across the putative elastic vortex-glass–vortex-liquid transition inYBa2Cu3
Miu
¹
,
Basset
²
,
Jakob
³

et al. 2001
Phys. Rev. B
6
0
2
0
View full text Add to dashboard Cite

Anisotropic in-plane properties of (103)/(013) orientedYBa2Cu3O
Campion
¹
,
King
²
,
Benedict
³

et al. 2000
Phys. Rev. B
7
0
1
0
View full text Add to dashboard Cite

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Finite-size effects on the vortex-glass transition in thinYBa2Cu3

Cited by 44 publications

References 34 publications

Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Universal critical behavior in single crystals and films ofYBa2Cu3O7−δ

Nondiverging vortex pinning barriers at low current densities across the putative elastic vortex-glass–vortex-liquid transition inYBa2Cu3Miu1, Basset2, Jakob3 et al. 2001Phys. Rev. B6020View full textAdd to dashboardCite

Anisotropic in-plane properties of (103)/(013) orientedYBa2Cu3OCampion1, King2, Benedict3 et al. 2000Phys. Rev. B7010View full textAdd to dashboardCite

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Nondiverging vortex pinning barriers at low current densities across the putative elastic vortex-glass–vortex-liquid transition inYBa2Cu3
Miu
¹
,
Basset
²
,
Jakob
³

et al. 2001
Phys. Rev. B
6
0
2
0
View full text Add to dashboard Cite

Anisotropic in-plane properties of (103)/(013) orientedYBa2Cu3O
Campion
¹
,
King
²
,
Benedict
³

et al. 2000
Phys. Rev. B
7
0
1
0
View full text Add to dashboard Cite