Chiral exponents in frustrated spin models with noncollinear ordering

Abstract

We compute the chiral critical exponents for the chiral transition in frustrated two- and three-component spin systems with noncollinear order, such as stacked triangular antiferromagnets (STA). For this purpose, we calculate and analyze the six-loop field-theoretical expansion of the renormalization-group function associated with the chiral operator. The results are in satisfactory agreement with those obtained in the recent experiment on the XY STA CsMnBr3 reported by V. P. Plakhty et al., Phys. Rev. Lett. 85, 3942 (2000), providing further support for the continuous nature of the chiral transition.

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