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We perform calculations to obtain the $H_{c2}$ curve of high temperaturesuperconductors (HTSC). We consider explicitly the fact that the HTSC possessintrinsic inhomogeneities by taking into account a non uniform charge density$\rho(r)$. The transition to a coherent superconducting phase at a criticaltemperature $T_c$ corresponds to a percolation threshold among differentsuperconducting 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 anaverage linearized Ginzburg-Landau (GL) equation to take into account thedistribution of local superconducting temperatures $T_c(\rho(r))$. Thisapproach explains some of the anomalies associated with $H_{c2}$ and whyseveral properties like the Meissner and Nernst effects are detected attemperatures much higher than $T_c$.Comment: Latex text, add reference

physical review. b, condensed matter and materials physics

Upper critical field<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mn>2</mml:mn><mml:mn /></mml:mrow></mml:msub></mml:mrow></mml:math>calculations for the high critical temperature superconductors considering inhomogeneities

Upper critical fieldHc2calculations for the high critical temperature superconductors considering inhomogeneities