The critical behavior of 2-d frustrated spin models with noncollinear order

Abstract

We study the critical behavior of frustrated spin models with noncollinear order in two dimensions, including antiferromagnets on a triangular lattice and fully frustrated antiferromagnets. For this purpose we consider the corresponding $O(N)\times O(2)$ Landau-Ginzburg-Wilson (LGW) Hamiltonian and compute the field-theoretic expansion to four loops and determine its large-order behavior. We show the existence of a stable fixed point for the physically relevant cases of two- and three-component spin models. We also give a prediction for the critical exponent $\eta$ which is $\eta =0.24(6)$ and $\eta =0.29(5)$ for N=3 and 2 respectively.

11 pages, 8 figures

References in corpus (3)

• Large-n Critical Behavior of O(n)xO(m) Spin Models
• Non-equilibrium transitions in fully frustrated Josephson junction arrays
• Spin-stiffness and topological defects in two-dimensional frustrated spin systems

Cited by in corpus (17)

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• Multicritical behavior in the fully frustrated XY model and related systems
• Chiral phase transitions: focus driven critical behavior in systems with planar and vector ordering
• Five-loop epsilon expansion for O(n)xO(m) spin models
• About the relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions
• Chiral spin pairing in helical magnets
• Critical behavior of two-dimensional cubic and MN models in the five-loop renormalization-group approximation
• Critical thermodynamics of three-dimensional chiral model for N > 3
• Randomly dilute spin models with cubic symmetry
• Chiral critical behavior in two dimensions from five-loop renormalization-group expansions
• Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy
• Critical behavior of frustrated spin systems with nonplanar orderings
• Interplay of topology and geometry in frustrated 2d Heisenberg magnets
• Frustrated Heisenberg Antiferromagnets between d=2 and d=3
• Critical behavior of two-dimensional fully frustrated XY systems