Upper critical field Hc2 calculations for the high critical temperature superconductors considering inhomogeneities

Abstract

We perform calculations to obtain the Hc2 curve of high temperature superconductors (HTSCs). We consider explicitly the fact that HTSCs possess intrinsic inhomogeneities by taking into account a nonuniform charge density ρ(r). The transition to a coherent superconducting phase at a critical temperature Tc corresponds to a percolation threshold among different superconducting regions, each one characterized by a given Tc(ρ(r)). Within this model we calculate the upper critical field Hc2 by means of an average linearized Ginzburg-Landau equation modified to take into account the distribution of local superconducting temperatures Tc[ρ(r)]. This approach explains some of the anomalies associated with Hc2 and why several properties like the Meissner and Nernst effects are detected at temperatures much higher than Tc.

Source-reported materials — not catalogue approval

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