Temperature dependence of the field-cooled and zero-field-cooled dc magnetization at 50 Oe and the imaginary part of ac susceptibility for excitation frequency of 1 Hz and rms amplitude Hac of 2 Oe for the La0.9Sr0.1CoO3 single crystal. The inset shows the field dependence of the dc magnetization at 5 K.
(a) Temperature dependence of the real part of ac susceptibility for different frequencies of the driving ac field where Hdc = 0 Oe and Hac = 2 Oe. (Inset) Log-log plot of the characteristic time vs reduced temperature t. The solid line is the fit to Eq. (1) . (b) Temperature dependence of the out of phase susceptibility at different driving frequencies for the same ac field. (Inset) Log-log plot of τ vs t and the solid line is fit to Eq. (1) . (c) Frequency dependence of the freezing temperature plotted as log f vs 1000/ T used to estimate the relative variation by frequency decade (K). (d) Vogel-Fulcher representation of frequency dependence of the freezing temperature and the solid line is fit to Eq. (3)
Isothermal magnetization (M vs H) curves at temperatures in the vicinity of Tf in the field range Oe for the La0.9Sr0.1CoO3 single crystal. The solid lines are due to the fit to Eq. (4) .
Temperature dependence of the coefficients of the first two nonlinear terms in the expansion of the magnetization i.e., and (inset a) plotted against reduced temperature t exhibiting their divergence as . Inset b shows the log-log plot of versus reduced temperature t and the solid line is due the linear fit for where γ is estimated from the slope of the fit.
(a) Scaling behavior of the nonlinear magnetization for in the field range Oe for the La0.9Sr0.1CoO3 single crystal. Different colors correspond to different nonlinear magnetic isotherms. (b)Scaling on log-log plot exhibiting the asymptotic limits of the scaling function in Eq. (6) . The two solid lines are due to liner fits to the scaling function in the asymptotic limits. The obtained slopes from these two line are in consistent with that predicted theoretically.
(Top) Temperature dependence of ZFC and FC magnetization at . Inset shows the procedure to estimate strong irreversibility temperatures from the irreversible magnetization (Mirr ). (Bottom) Different panels show the temperature derivative of the ZFC magnetization at different applied uniform fields. Weak irreversibility temperatures at different fields are estimated from the temperature where becomes equal to zero.
Magnetic phase diagram of La0.9Sr0.1CoO3 in the H–T plane. The dotted line is the fit of the strong irreversibility temperatures to the d'Almeida-Thouless, , critical line. The solid lines are the linear fit and the Gabay-Toulouse, , critical line fit for Oe and , respectively.
Comparison of the deduced critical exponents of La0.9Sr0.1CoO3 single crystal with canonical spin glass AgMn and different theoretical models viz., the bimodal ( ) HCSG, the GHCSG, the ( ) ISG, and the GISG.
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