Abstract
The authors report on measurements of the specific heat, C, of the triangular lattice antiferromagnet CsMnI3 in the vicinity of the two successive phase transitions at TN1=11.28 K and TN2=8.19 K and in magnetic fields up to 6 T applied perpendicular to the c axis. Near TN2 the data can be fitted with a critical exponent alpha =-0.05+or-0.15 for B=0 compatible with the prediction of three-dimensional ordering with XY symmetry for this transition. Within the experimental uncertainty, the critical behaviour is not affected by a magnetic field.
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