Dy. Kim et al., LINEAR BIREFRINGENCE BEHAVIOR OF A(2)BX(4)-TYPE FERROIC CRYSTALS IN THE NORMAL-INCOMMENSURATE PHASE-TRANSITION, Physical review. B, Condensed matter, 57(18), 1998, pp. 11173-11177
Critical behavior of linear birefringence was studied in the normal-in
commensurate phase transition of various A(2)BX(4)-type crystals. We c
onsidered the fluctuation effect in the scaling analysis so that we co
uld obtain a precise value of the critical exponent beta from linear b
irefringence measurements. The numerical values of 2 beta obtained fro
m our experiment were 0.72 similar to 0.75 (+/-0.02). These results ar
e in agreement with the previous theoretical prediction which suggests
that the normal-incommensurate phase transition of A(2)BX(4)-type cry
stals belongs to the universality class of the three-dimensional (3D)
XY model. Beyond the critical region, we observed crossover from 3D XY
-like behavior into classical Landau-like behavior, 2 beta=1, in Rb2Zn
Cl4 and K2ZnCl4.