Critical properties of a continuous family of XY noncollinear magnets

Abstract

Monte Carlo methods are used to study a family of three dimensional XY frustrated models interpolating continuously between the stacked triangular antiferromagnets and a variant of this model for which a local rigidity constraint is imposed. Our study leads us to conclude that generically weak first order behavior occurs in this family of models in agreement with a recent nonperturbative renormalization group description of frustrated magnets.

arXiv comment5 pages, 3 figures, minor changes, published version

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• First order phase transition in the frustrated triangular antiferromagnet CsNiCl3
• Chiral Mott insulators in frustrated Bose-Hubbard models on ladders and two-dimensional lattices: a combined perturbative and density matrix renormalization group study
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• Short-time dynamics of a family of XY noncollinear magnets
• Fixed points in frustrated magnets revisited
• Monte Carlo study of the critical properties of noncollinear Heisenberg magnets: $O(3)\times O(2)$ universality class
• Flat Energy-Histogram Simulation of the Phase Transition in an Ising Fully Frustrated Lattice
• Ising-XY Transition in Three-dimensional Frustrated Antiferromagnets with Collinear Ordering
• Critical Behavior of a General O(n)-symmetric Model of two n-Vector Fields in D=4-2 epsilon
• Incompleteness of the large-$N$ analysis of the $O(N)$ models: Nonperturbative cuspy fixed points and their nontrivial homotopy at finite $N$