File Name : fig_s1.pdf

Caption : critical behavior of tbir<sub>3</sub> : (a) isothermal magnetization curves at temperatures around (t<sub>c</sub>). (b) arrott plot at different temperatures close to the curie temperature (t<sub>c</sub> ); (c) modified arrott plot. solid lines are the linear fit of the isotherms at high field region. the isotherm close to the curie temperature (t<sub>c</sub> ~ 40 k) almost passes through the origin; (d) temperature dependence of spontaneous magnetization and inverse initial susceptibility. the solid lines are the fit to the power law eqns. s2, s3 of supplementary; (e) kouvel-fisher plot of spontaneous magnetization and inverse initial susceptibility. solid lines are the linear fit to the data; (f) critical isotherm close to the curie temperature (t<sub>c</sub>). the inset shows the same on log-log scale. the solid line is the linear fit following eqn. s4; (g) scaled magnetization below and above t<sub>c</sub>. this plot shows that all the data collapse onto two different curves: one below t<sub>c</sub> and another above t<sub>c</sub>. inset shows the same on a log scale; (h) heat capacity data on a reduced temperature scale below and above t<sub>c</sub>. the solid line is the linear fit following eqn. (7).

File Name : fig_s2.pdf

Caption : critical behavior of hoir<sub>3</sub> : (a) isothermal magnetization curves at temperatures around (t<sub>c</sub>). (b) arrott plot at different temperatures close to the curie temperature (t<sub>c</sub> ); (c) modified arrott plot. solid lines are the linear fit of the isotherms at high field region. the isotherm close to the curie temperature (t<sub>c</sub> ~ 12 k) almost passes through the origin; (d) temperature dependence of spontaneous magnetization and inverse initial susceptibility. the solid lines are the fit to the power law eqns. s2, s3 of supplementary; (e) kouvel-fisher plot of spontaneous magnetization and inverse initial susceptibility. solid lines are the linear fit to the data; (f) critical isotherm close to the curie temperature (t<sub>c</sub>). the inset shows the same on log-log scale. the solid line is the linear fit following eqn. s4; (g) scaled magnetization below and above t<sub>c</sub>. this plot shows that all the data collapse onto two different curves: one below t<sub>c</sub> and another above t<sub>c</sub>. inset shows the same on a log scale; (h) heat capacity data on a reduced temperature scale below and above t<sub>c</sub>. the solid line is the linear fit following eqn. (7).