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In order to investigate the inhomogeneity of the superconducting (SC) statein the overdoped high-$T_{\rm c}$ cuprates, we have measured the magneticsusceptibility, $\chi$, of La$_{2-x}$Sr$_x$CuO$_4$ (LSCO) single crystals inthe overdoped regime in magnetic fields parallel to the c-axis up to 7 T onwarming after zero-field cooling. It has been found for $x$ = 0.198 and 0.219that the temperature dependence of $\chi$ in 1 T shows a plateau, that is,$\chi$ is almost independent of temperature in a moderate temperature-range inthe SC state. Moreover, a so-called second peak in the magnetization curve hasmarkedly appeared in these crystals. These results indicate an anomalousenhancement of the vortex pinning and strongly suggest the occurrence of a$microscopic$ phase separation into SC and normal-state regions in theoverdoped high-$T_{\rm c}$ cuprates.

journal of the physical society of japan

Magnetic-field-induced enhancement of the vortex pinning in the  overdoped regime of La$_{2-x}$Sr$_x$CuO$_4$ : Relation to the microscopic  phase separation