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The upper critical field $H_{c2}$ is one of the many non conventionalproperties of high-$T_c$ cuprates. It is possible that the $H_{c2}(T)$anomalies are due to the presence of inhomogeneities in the local chargecarrier density $\rho$ of the $CuO_2$ planes. In order to study this point, wehave prepared good quality samples of polycrystalline $La_{2-x}Sr_xCuO_{4}$using the wet-chemical method, which has demonstrated to produce samples with abetter cation distribution. In particular, we have studied the temperaturedependence of the second critical field, $H_{c2}(T)$, through the magnetizationmeasurements on two samples with opposite average carrier concentration($\rho_m=x$) and nearly the same critical temperature, namely $\rho_m = 0.08$(underdoped) and $\rho_m = 0.25$ (overdoped). The results close to $T_c$ do notfollow the usual Ginzburg-Landau theory and are interpreted by a theory whichtakes into account the influence of the inhomogeneities.

Measurements and analysis of the upper critical field $H_{c2}$ on an underdoped and overdoped $La_{2-x}Sr_xCuO_4$ compounds