On the Interplay Between T c -Inhomogeneities at Long Length Scales and Thermal Fluctuations Around the Average Superconducting Transition in Cuprates

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• Let us stress, however, that in this case (which corresponds to a typical non-uniformly distributed inhomogeneity) the behaviour of the calculated (th)ábdoes not depend on the number of meshes of the network, provided that the proportion and location of the different resistances is kept unchanged. This contrasts with the case of uniformly distributed Tc inhomogeneities for which with a small number of meshes it is not possible to represent adequately the inhomogeneity distribution. In this case, a small number of meshes could lead to the appearance of important spurious longitudinal and transversal voltages, which are just an artifact of an inadequate simulation. For instance, the calculations of the longitudinal and transversal voltages in superconductors with uniformly distributed inhomogeneities presented by R. Griessen and coworkers in Physica C235–2401371 (1994) may be affected by these spurious effects.
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• . Let us stress that, obviously, the opposite procedure used since many years by some workers, which consist in the estimation of T’, by imposing a critical exponent in an almost arbitrary (in extent and location!) temperature region does not overcome at all these difficulties: If p(T) is smoothly rounded by uniformly distributed TT -inhomogeneities, it will be always possible to find successive and more or less extended c-regions where the critical exponents take different values (to within almost zero and -3 or -4) which decrease when approaching the apparentT c .
• In spite of the earlier wamings, published in Refs. 26, 56 and 57, an appreciable number of papers were published since then by different groups (and still new papers are being published at present) which intend to conclude quantitatively on the paraconductivity full critical behaviour by just analyzing the temperature behaviour of the resistivity measured in different HTSC samples probably appreciably affected by uniformly(and maybe also by non uniformly)distributed Tcinhomogeneities. See, e.g., Menegotto Costa, P. Pureur, L. Ghivelder, J.A. Campá, and I. Rasines, Phys. Rev. B 5610836 (1997)
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