Abstract
We have studied the critical behavior in ${\mathrm{La}}_{0.5}{\mathrm{Sr}}_{0.5}{\mathrm{CoO}}_{3}$ near the paramagnetic to ferromagnetic transition temperature. We have analyzed our dc magnetization data near the transition temperature with the help of the modified Arrot plot, Kouvel-Fisher method. We have determined the critical temperature ${T}_{c}$ and the critical exponents $\ensuremath{\beta},$ $\ensuremath{\gamma},$ and $\ensuremath{\delta}.$ With the values of ${T}_{c},$ $\ensuremath{\beta},$ and $\ensuremath{\gamma},$ we plot $M/(1\ensuremath{-}{T/T}_{c}{)}^{\ensuremath{\beta}}$ vs $H/(1\ensuremath{-}{T/T}_{c}{)}^{\ensuremath{\gamma}}.$ All the data collapse on one of the two curves. This suggests that the data below and above ${T}_{c}$ obeys scaling, following a single equation of state. The exponents are close to Heisenberg values.
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