Nuclear quadrupole resonance (NQR) La-139 and Cu-63 spin-lattice relaxation
rare T-l(-1) measurements in a La1.94Sr0.06CuO4 single crystal are describ
ed. Slowing-down of Cu2+ spin fluctuations is evidenced through a dramatic
increase of T-139(l)-1 on cooling. While the onset of diamagnetism occurs a
t T-c = 8 K, T-139(l)-1 has a peak at T-g similar or equal to 5 K, when the
characteristic frequency of magnetic fluctuations reaches the NQR frequenc
y v(Q) similar or equal to 9 MHz. in agreement with a number of previous st
udies, these results show that the so-called "cluster spin-glass" phase per
sists in the superconducting regime. Issues concerning the coexistence of t
he two phases are discussed.