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Using Monte Carlo simulations, we study the critical behavior of two modelsof frustrated XY antiferromagnets with a collinear spin ordering and with anadditional twofold degeneracy of the ground state. We consider a classicantiferromagnet on a body-centered cubic lattice with an additionalantiferromagnetic exchange interaction between next-nearest spins, and aferromagnet with an extra antiferromagnetic intralayer exchange. In bothmodels, a single first-order transition on the discrete and continuous orderparameters is found. Observed critical pseudo-exponents are in agreement withexponents of XY magnets with a planar spin ordering like a stacked-triangularantiferromagnet and helimagnets belonging to the same symmetry class.

Ising-XY Transition in Three-dimensional Frustrated Antiferromagnets with Collinear Ordering