Upper critical field $H_{c2}$ calculations for the high critical temperature superconductors considering inhomogeneities

Abstract

We perform calculations to obtain the $H_{c2}$ curve of high temperature superconductors (HTSC). We consider explicitly the fact that the HTSC possess intrinsic inhomogeneities by taking into account a non uniform charge density $\rho (r)$. The transition to a coherent superconducting phase at a critical temperature $T_c$ corresponds to a percolation threshold among different superconducting regions, each one characterized by a given $T_c(\rho (r))$. Within this model we calculate the upper critical field $H_{c2}$ by means of an average linearized Ginzburg-Landau (GL) equation to take into account the distribution of local superconducting temperatures $T_c(\rho (r))$. This approach explains some of the anomalies associated with $H_{c2}$ and why several properties like the Meissner and Nernst effects are detected at temperatures much higher than $T_c$.

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Cited by in corpus (5)

• Numerical Study of the Cahn-Hilliard Equation in One, Two and Three Dimensions
• The Effects of Phase Separation in the Cuprate Superconductors
• The effective increase in atomic scale disorder by doping and superconductivity in Ca${}_3$Rh${}_4$Sn${}_{13}$
• Superconducting anisotropy in the electron-doped high-T${}_c$ superconductors Pr${}_{2-x}$Ce${}_x$CuO${}_{4-y}$
• Measurements and analysis of the upper critical field $H_{c2}$ on an underdoped and overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$ compounds