Static and dynamical properties of Cu spins in the overdoped single-crystal
s of La2-xSrxCu1-yZnyO4 have been investigated by the muon-spin-relaxation
(mu SR) method. In the Zn-substituted single-crystal with x = 0.21 and y =
0.01, where the high-T-c superconductivity is anomalously suppressed, a coe
xisting state of statically ordered Cu-spins and localized holes has been f
ound at low temperatures below about 2 K. The dynamical depolarization rate
of the muon spin at 3.0 K has been found to be nearly proportional to minu
s-root-square of the external magnetic-field applied along the initial muon
-spin polarization. This field-dependence can be explained by assuming the
existence of an excited state of the Cu spins diffusing in a one-dimensiona
l direction. The present study suggests a high possibility of the existence
of a new one-dimensional stripe ordered state of the Cu spins and doped ho
les at x = 0.21 in the overdoped region of La2-xSrxCu1-yZnyO4.