Abstract
The critical properties of classical frustrated helimagnets with different numbers of chiral order parameters are studied in three dimensions. The model of an antiferromagnet on a simple cubic lattice is considered with additional competing exchange interactions between spins of the first and the third range orders. In this model, helicoidal ordered phases exist with one, two, and three independent chiral order parameters. In all cases, it was found that a transition from an ordered to a disordered phase is a single first-order transition in the absence of partially ordered phases.
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