Generalized Helimagnets Between Two and Four Dimensions

Abstract

We study the phase transitions of N-components generalized helimagnets that obey the symmetry breaking pattern O(N) x O(N-1) -> O(N-1)_diag . In the neighborhood of two dimensions, a D=2+epsilon renormalization group study reveals a rich fixed point structure as well as a nematic-like phase with partial spin ordering. In the physical case O(3) x O(2) -> O(2)_diag , relevant to real magnets with noncollinear ordering, we show that this implies an XY-like transition between the ordered phase and the nematic-like phase. A non-Abelian mean-field calculation qualitatively valid above four dimensions is shown to lead to the same picture but then the principal chiral fixed point, which had been proposed earlier as the relevant fixed point for D=3 helimagnets, plays no role due to the appearance of a first-order line.

11 pages, REVTeX3.0 + epsf, 3 figures, uuencoded file (1 .tex + 3 .eps files)

References in corpus (3)

• A Renormalization Group Study of Helimagnets in D=2+EPSILON Dimensions
• Critical Behavior of the Antiferromagnetic Heisenberg Model on a Stacked Triangular Lattice
• A self-consistent theory of phase transitions in noncollinear magnets

Cited by in corpus (12)

• Universality of phase transitions of frustrated antiferromagnets
• Nonperturbative renormalization group approach to frustrated magnets
• Heisenberg frustrated magnets: a nonperturbative approach
• Critical behavior of O(2)xO(N) symmetric models
• Large-n Critical Behavior of O(n)xO(m) Spin Models
• Nematic and chiral orders for planar spins on triangular lattice
• Chiral Spin Liquid in two-dimensional XY Helimagnets
• Weak first-order transition in the quasi-one-dimensional frustrated XY antiferromagnet
• Crossover from $O(3)$ to $O(4)$ behavior in weakly frustrated antiferromagnets
• Spin and Chirality Orderings of Frustrated Magnets -- Stacked-Triangular Antiferromagnets and Spin Glasses
• Phase transition of the three-dimensional chiral Ginzburg-Landau model -- search for the chiral phase
• Competition between Triplet Superconductivity and Antiferromagnetism in Quasi One-Dimensional Electron Systems