Study of the Low Temperature Glassy Phase in Gd0.5Sr0.5MnO3 Single Crystals

We have grown single crystals of Gd0.5Sr0.5MnO3 (GSMO50) using optical float zone method. We report AC susceptibility measurements carried out on these single crystals at various frequencies in the range 42 to 10,000 Hz under the application of small AC magnetic field (similar to 170 mOe). The frequency dependence of the peak temperature follows a critical slowing down with exponent z nu=1.13(4) as seen in the dynamical scaling analysis reported in the present paper. We observe that the glass-like phase in GSMO50 (similar to below 32 K) is very sluggish (spin flipping time tau (0)=4x10(-6) sec).