Our recent experimental studies on the so-called 1/8 anomaly in the Bi-2212
and Y-123 phases and also on the new anomaly in the overdoped region of th
e La-214 phase are reviewed. In the partially Zn-substituted Bi-2212 and Y-
123 phases, we have found anomalous suppression of superconductivity (SC) a
t p (the hole concentration per Cu in the CuO2 plane) similar to 1/8, and i
t has been found from the muon-spin-relaxation (mu SR) measurements that th
e magnetic correlation between Cu spins is enhanced singularly at p similar
to 1/8 Furthermore, we have found giant suppression of SC singularly at x
= 0.21 in the 1% Zn-substituted single-crystals of La2-xSrxCu1-yZnyO4 (LSCZ
O), and it has been found from the mu SR measurements that the magnetic cor
relation is also enhanced at x = 0.21. These results suggest that the dynam
ical stripe correlations of holes and spins exist in the Bi-2212 and Y-123
phases as well as in the La-214 phase and that they tend to be pinned by a
small amount of Zn, leading to quasi-static stripe order and the suppressio
n of SC at p similar to 1/8 in the Bi-2212, Y-123, La-214 phases and also a
t x = 0.21 in LSCZO. If this tendency is the case in a wide range of p, it
is possible to understand the universal experimental results in the high-rr
, cuprates that Zn is a strong scatterer in the unitarity limit and that th
e Zn substitution markedly suppresses SC.