Fluctuation specific heat in multilayered superconductors: bilayered gaussian-ginzburg-landau scenario for the thermal fluctuations of cooper pairs around (formula presented) in (formula presented) single crystals

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 6, 1999, Pages 4475-4485

  Ramallo, Manuel V ^a   Vidal, Félix ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000455452     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.4475     Document Type: Article

References (54)

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7. F. Vidal, J. A. Veira, J. Maza, F. García-Alvarado, E. Morán, and M. A. Alario, J. Phys. C 21, L599 (1988). In these early papers, the possible penetration for (Formula presented) into the full-critical region above the superconducting transition in Y-123 samples, with a dynamic critical exponent of (Formula presented) in the 3DXY model, was qualitatively observed for the first time. It was also analyzed here how the presence of small stoichiometric and structural inhomogeneities, uniformly distributed in the sample volume, may affect both the critical exponents and the amplitude of the paraconductivity in the different dynamic critical regions.
8. For more recent analyses of these extrinsic effects on the measured thermal fluctuations in HTSC’s, see J. Maza and F. Vidal, Phys. Rev. B 43, 10 560 (1991);
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33. Reference 20 also proposes some expressions for (Formula presented) but they contain unsolved integrations that make it very difficult to use them in data analysis, and that also hide relevant theoretical relationships such as, e.g., Eqs. (9101112). Moreover, various inconsistencies may be easily found in those (Formula presented) results: For instance, one does not recover the usual 3D expression for (Formula presented) in the limit (Formula presented) also, the expressions for (Formula presented) with (Formula presented) do not agree with the equivalent (Formula presented) ones. Such incorrections arise because only the lower (Formula presented) branch is considered in the calculations, due to an inappropriate implementation of the Gaussian approximation. In our present calculations all the branches are considered, and such inconsistencies solved.
34. In some works that analyze experimental data of (Formula presented) in HTSC’s, it is used a fit to the tabulated expressions given by B. Mühlschlegel, Z. Phys.156, 313 (1959), for the “mean-field” superconducting heat capacity, instead of the simple result given by Eq. (2) (see, e.g., Ref. 1). Though the final conclusions do not depend much on that issue, we note that the result of Mühlschlegel is not the one around which the perturbative calculations of the fluctuation effects in the heat capacity are performed, so that a coherent analysis of these effects has to use Eq. (2).
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46. Other independent experiments, including direct measurements of the Josephson tunneling coupling between adjacent layers, confirm, at least at a qualitative level, these values of (Formula presented) in Y-123 crystals. See, e.g., D. C. Ling, G. Yong, J. T. Chen, and L. E. Wenger, Phys. Rev. Lett. 75, 2011 (1995).
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