Chiral exponents in frustrated spin models with noncollinear ordering

Abstract

We compute the chiral critical exponents for the chiral transition in frustrated two- and three-component spin systems with noncollinear order, such as stacked triangular antiferromagnets (STA). For this purpose, we calculate and analyze the six-loop field-theoretical expansion of the renormalization-group function associated with the chiral operator. The results are in satisfactory agreement with those obtained in the recent experiment on the XY STA CsMnBr_3 reported by V. P. Plakhty et al., Phys. Rev. Lett. 85, 3942 (2000), providing further support for the continuous nature of the chiral transition.

4 pages

References in corpus (2)

• Large-n Critical Behavior of O(n)xO(m) Spin Models
• An exact renormalization group approach to frustrated magnets

Cited by in corpus (23)

• Nonperturbative renormalization group approach to frustrated magnets
• Critical behavior of O(2)xO(N) symmetric models
• 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
• Understanding correlated electron systems by a classification of Mott insulators
• Critical thermodynamics of three-dimensional chiral model for N > 3
• The normal-to-planar superfluid transition in Helium 3
• Six-loop $\epsilon$ expansion study of three-dimensional $O(n)\times O(m)$ spin models
• Chiral critical behavior in two dimensions from five-loop renormalization-group expansions
• Spin Stiffness of Stacked Triangular Antiferromagnets
• Multicritical behavior in frustrated spin systems with noncollinear order
• Chiral exponents in O(N) x O(m) spin models at O(1/N^2)
• Numerical study of the enlarged O(5) symmetry of the 3-D antiferromagnetic RP2 spin model
• Field-theory results for three-dimensional transitions with complex symmetries
• Six dimensional Landau-Ginzburg-Wilson theory
• Critical behavior of frustrated spin systems with nonplanar orderings
• Monte Carlo study of the critical properties of noncollinear Heisenberg magnets: $O(3)\times O(2)$ universality class
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Phase diagram of the (bosonic) Double-Exchange Model
• Dynamical generation of a gauge symmetry in the Double-Exchange model
• Continued functions and Borel-Leroy transformation: Resummation of six-loop ε-expansions from different universality classes
• Interlayer-Interaction Dependence of Latent Heat in the Heisenberg Model on a Stacked Triangular Lattice with Competing Interactions
• High-order perturbative expansions of multi-parameter Phi^4 quantum field theories