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References
J.G. Bednorz and K.A. Müller, Z. Phys. B Condensed Matter 64, 189 (1986).
See, e.g., M. Tinkham, Introduction to Superconductivity, (McGraw-Hill, New York, 1996), Chaps. 8 and 9, and references therein.
For earlier references of the effects of thermal fluctuations of Cooper pairs in HTSC, see, e.g., M. Akinaga, in Studies of High Temperature Superconductors, edited by A.V. Narlikar (Nova Science, Commack, NY, 1991), Vol. 8, p. 297. For more recent references, mainly on the fluctuation effects on the heat capacity, see, e.g., A. Junod, ibid. (1996), Vol. 19, p. 1. See also, M. Ausloos, in Physics and Material Science of High Temperature Superconductors II, edited by R. Kossowsky, B. Raveau, D. Wohlleben and S.K. Patapis (Kluwer, Dordrecht, 1992), p. 775.
For a review and earlier references on the effects of thermal fluctuations of magnetic vortices in HTSC, see e.g., D. Feinberg, J. Phys. III France 4, 169 (1994).
D.S. Fisher, M.P.A. Fisher and D.A. Huse, Phys. Rev. B 43, 130 (1991).
For a recent review of the theoretical results on the non-direct (i.e., Maki-Thompson or density of states) effects associated with the Cooper pair fluctuations in single layered superconductors, see e.g., A.A. Varlamov, G. Balestrino, E. Milani and D. Livanov (to be published).
A discussion of the similarities between the thermal fluctuation effects in HTSC and in other layered superconductors may be seen in R.A. Klemm, in Fluctuation Phenomena in High Temperature Ceramics, edited by M. Ausloos and A.A. Varlamov (Kluwer, NATO Series, 1997), in press.
M. Tinkham in Ref.[2], p. 325.
S.K. Yip, Phys. Rev. B 41, 2612 (1990), and references therein.
J.A. Veira and F. Vidal, Phys. Rev. B 42, R8748 (1990).
M.V. Ramallo, A. Pomar and F. Vidal, Phys. Rev. B 54, 4341 (1996).
See, e.g., V.V. Dorin, R.A. Klemm, A.A. Varlamov, A.I. Buzdin and D.V. Livanov, Phys. Rev. B 48, 12951 (1993).
W.E. Lawrence and S. Doniach, in Proc. 12th Int. Conf. on Low-Temperature Physics, Kyoto, Japan, 1970, edited by E. Kanda (Tokyo, Academic, 1971), p. 361.
R.E. Prange, Phys. Rev. B 1, 2349 (1970).
R.A. Klemm, M.R. Beasley and A. Luter, Phys. Rev. B 8, 5072 (1973).
L.N. Bulaevskii, M. Ledvij and V.G. Kogan, Phys. Rev. Lett. 68, 3773 (1992).
V.G. Kogan, M. Ledvij, A. Yu. Simonov, J.H. Cho and D.C. Johnston, Phys. Rev. Lett. 70, 1870 (1993).
Z. Tešanovi, L. Xing, L.N. Bulaevskii, Q. Li and M. Suenaga, Phys. Rev. Lett. 69, 3563 (1992).
K. Maki and R.S. Thompson, Phys. Rev. B 39, 2769 (1989).
R.A. Klemm, Phys. Rev. B 41, 2073 (1990).
M.V. Ramallo, C. Torrón and F. Vidal, Physica C 230, 97 (1994).
J. Mosqueira, E.G. Miramontes, C, Torrón, J.A. Campá, I. Rasines and F. Vidal, Phys. Rev. B 53, 15272 (1996).
J. Mosqueira, A. Maignan, Ch. Simon, C. Torrón, A. Wahl and F. Vidal, Physica C 282-287, 1539 (1997); F. Vidal, J.A. Veira, C. Torrón, J. Mosqueira, A. Revcolevschi, 1. Rasines, A. Maignan and J.A. Campá, to be published.
M.V. Ramallo, Ph. D. Thesis (Universidad de Santiago de Compostela, 1997), unpublished.
M.V. Ramallo and F. Vidal, to be published.
S. Hikami and A.I. Larkin, Mod. Phys. Lett. B 2, 693 (1988).
M.V. Ramallo and F. Vidal, Europhys. Lett. 39, 177 (1997).
A.P. Levanyuk, Sov. Phys. JETP 36, 571 (1959); V.L. Ginzburg, Sov. Phys. Solid State 2, 1824 (1960).
L.G. Aslamazov and A.I. Larkin, Phys. Lett. A 26, 238 (1968).
Y. Matsuda, T. Hirai and S. Komiyama, Solid State Commun. 68, 103 (1988); Y. Matsuda, T. Hirai, S. Komiyama, T. Terashima, Y. Bando, K. Ijima, K. Yamamoto and K. Hirata, Phys. Rev. B 40, 5176 (1989).
M. Hikita and M. Suzuki, Phys. Rev. B 39, 4756 (1989); 41, 834 (1990).
G. Weigang and K. Winzer, Z. Phys. B Condensed Matter 77, 11 (1989); G. Kumm and K. Winzer, Physica B 165-166, 1361 (1990); K. Winzer and G. Kumm, Z. Phys. B Condensed Matter 82, 317 (1991).
K. Semba, T. Ishii and A. Matsuda, Phys. Rev. Lett. 67, 769 (1991).
N. Overend and M.A. Howson, J. Phys.: Condens. Matter 4, 9615 (1992).
W. Holm, M. Andersson, Ö. Rapp, M.A. Kulikov and I.N. Makarenko, Phys. Rev. B 48, 4227 (1993).
A. Pomar, M.V. Ramallo, J. Maza and F. Vidal, Physica C 225, 287 (1994); A. Pomar, Ph. D. Thesis (Universidad de Santiago de Compostela, 1995), unpublished.
A. Pomar, M.V. Ramallo, J. Mosqueira, C. Torrón and F. Vidal, Phys. Rev. B 54, 7470 (1996); J. Low Temp. Phys. 105, 675 (1996).
See, e.g., W.J. Skocpol and M. Tinkham, Rep. Prog. Phys. 38, 1094 (1975).
H. Schmidt, Z. Phys. 216, 336 (1968).
A. Schmid, Phys. Rev. B 180, 527 (1969).
T. Suzuki, Phys. Lett. A 37, 154 (1971).
K. Yamaji, Phys. Lett. A 38, 43 (1972).
F. Vidal, C. Torrón, J.A. Veira, F. Miguélez, and J. Maza, J. Phys.: Condens. Matter 3, L5219 (1991); 3, 9257 (1991); C. Torrón, O. Cabeza, J.A. Veira, J. Maza and F. Vidal, J. Phys.: Condens. Matter 4, 4273 (1992).
D.J. Thouless, Ann. Phys., NY 10, 553 (1960).
R.A. Ferrell, J. Low Temp. Phys. 1, 241 (1969).
T. Suzuki, J. Low Temp. Phys. 9, 525 (1972).
K.F. Quader and E. Abrahams, Phys. Rev. B 38, 11977 (1988). Note that this paper contains a (probably typographical) error in the final result.
L.N. Bulaevskii, Int. J. Mod. Phys. B 4, 1849 (1990).
See, e.g., C. Marcenat, R. Calemczuk and A. Carrington, in Coherence in High Temperature Superconductors, edited by G. Deutscher and A. Revcolevschi (World Scientific, Singapore 1995), p. 101 and references therein.
See, e.g., S.W. Pierson, Th.M. Katona, Z. Tčanovié, and T.S. Vails, Phys. Rev. B 53, 8638 (1996) and references therein.
N. Overend, M.A. Howson, I.D. Lawrie, S. Abell, P.J. Hirst, Ch. Changkang, Sh. Chowdhury, J.W. Hodby, S.E. Inderhess and M.B. Salamon, Phys. Rev. B 54, 9499 (1996).
A. Pomar, A. Díaz, M.V. Ramallo, C. Torrón, J.A. Veira and F. Vidal, Physica C 218, 257 (1993).
A. Andreone, C. Cantoni, A. Cassinese, A. Di Chiara and R. Vaglio, Phys. Rev. B 56, 7874 (1997).
S. Kamal, D.A. Bonn, N. Goldenfeld, P.J. Hirschfeld, R. Liang and W.N. Hardy, Phys. Rev. Lett. 73, 1845 (1994); J.C. Booth, D.H. Wu, S.B. Quadri, E.F. Skelton, M.S. Osofsky, A. Pique and S.M. Anlage, Phys. Rev. Lett. 77, 4438 (1996).
C. Meingast, A. Junod and E. Walker, Physica C 272, 106 (1996).
As already noted in the works of Levanyuk (Ref. 40) and Ginzburg (Ref. 40), other definitions of T LG are possible, as the ones based on the comparison of various order parameter averages (see also P.C, Hohenberg, in Fluctuations in Superconductors, edited by E.S. Gore and F. Chilton (Stanford Research Institute, Menlo Park, CA 1968) p. 305). However they lead to expressions of ε LG similar to the one resulting from the heat capacity analysis, except for a numerical prefactor. In fact, such a prefactor ambiguity may be seen as a signature of the qualitativeness of any criterion for the crossover between both critical regions (see, e.g., Ref. 5). Let us stress, however, that the definition used here seems to be the more adequate one, as it as based on a physical observable rather than on more indirect considerations (see also V.L. Ginzburg, A. P. Levanyuk and A.A. Sobyanin, Ferroelectrics 73, 171 (1987)). Let us also stress here, however, that the LG criterium is not directly related to the full critical region, which may appear well below ε LG . Instead, it may be seen as an indication that for ε ⪞ ε LG the mean field like approaches plus Gaussian fluctuations could be a reasonable approximation.
L.N. Bulaevskii, V.L. Ginzburg and A.A. Sobyanin, Physica C 152, 378 (1988).
C. Torrón, A. Díaz, J. Jegoudez, A. Pomar, M.V. Ramallo. A. Revcolevschi, J.A. Veira and F. Vidal, Physica C 212, 440 (1993); C. Torrón, A. Díaz, A. Pomar, J.A. Veira and F. Vidal, Phys. Rev. B 49, 13143(1994).
M. Roulin, A. Junod and E. Walker, Physica C 260, 257 (1996).
W. Holm, Yu. Eltsev and O. Rapp, Phys. Rev. B 51, 11992 (1995).
J.T. Kirn, N. Goldenfeld, J. Giapintzakis and D.M. Ginsberg, Phys. Rev. B 56, 118 (1997).
C.W. Lee, R.A. Klemm and D.C. Johnston, Phys. Rev. Lett. 63, 1012 (1989).
S.E. Inderhess, M.B. Salamon, J.P. Rice and D.M. Ginsberg, Phys. Rev. Lett. 66, 232 (1991).
An effective medium approach well adapted to the analysis of the influence on the electrical conductivity and magnetoconductivity of T c inhomogeneities at long length scales and uniformly distributed was proposed by J. Maza and F. Vidal, Phys. Rev. B 43, 10560 (1991). See also Ref.37.
The influence of T c inhomogeneities at long length scales and non-uniformly distributed, including the so-called anomalous peaks, on the magnetoresistivity and on the thermopower around the average T c in HTSC, has been studied by J. Mosqueira, A. Pomar, J.A. Veira and F. Vidal, Physica C 225, 34 (1994); ibid 229, 301 (1994); ibid 253, 1 (1995); J. Appl. Phys. 76, 1943(1994).
The presence of T c inhomogeneities non-uniformly distributed in the sample surface may deeply affect the current density distributions, mainly around the average T c .See, e.g., Th. Siebold, C. Carballeira, J. Mosqueira, M.V. Ramallo and F. Vidal, Physica C 282-287, 1181 (1997). In turn, these temperature dependent current redisiributios may affect the measured critical exponents of both the paraconductivity and the fluctuation induced magnetoconductivity (see also Ref.65).
F. Sharifi, J. Giapintzakis, D.M. Ginsberg and D.J. van Harlingen, Physica C 161, 555 (1989).
P.P. Freitas, C.C. Tsuei and T.S. Plaskett, Phys. Rev. B 36, 833 (1987); R. Hopfengärtner, B. Hensel and G. Saemann-Ischenko, Phys. Rev. B 44, 741 (1991).
A. Gauzzi and D. Pavuna, Phys. Rev. B 51, 15420 (1995).
M.R. Cimberle, C. Ferdeghini, E. Giannini, D. Demarré, M. Putti, A. Siri, F. Federici and A. Varlamov, Phys. Rev. B 55, R14745 (1997).
V. Ambegaokar and A. Baratoff, Phys. Rev. Lett. 10, 486 (1963); 11, 104 (1963).
P.G. de Gennes, Rev. Mod. Phys. 36, 225 (1964).
K.K. Likharev, Rev. Mod. Phys. 51, 101 (1979). In this review numerous cases for tunnelling interactions are considered, all of them leading to the relationship j c ά B -1.
L.C. Smedskjaer, J.Z. Liu, R. Benedek, D. Leguini, D.J. Laur, M.D. Stahulak, H. Claus, A. Bausil, Physica C 156, 269 (1988).
R. Kleiner, F. Stenmeier, G. Kunkel and P. Müller, Phys. Rev. Lett. 68, 2394 (1992).
R. Kleiner and P. Müller, Phys. Rev. B 49, 1327 (1994).
D.C. Ling, G. Yong, J.T. Chen and L.E. Wenger, Phys. Rev. Lett. 75, 2011 (1995).
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Vidal, F., Ramallo, M.V. (2002). Multilayering Effects on the Thermal Fluctuations of Cooper Pairs Around the Superconducting Transition in Cuprates. In: Bok, J., Deutscher, G., Pavuna, D., Wolf, S.A. (eds) The Gap Symmetry and Fluctuations in High-Tc Superconductors. NATO Science Series: B:, vol 371. Springer, Boston, MA. https://doi.org/10.1007/0-306-47081-0_24
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