Critical behavior of frustrated spin models with noncollinear order

@article{Pelissetto2001CriticalBO,
  title={Critical behavior of frustrated spin models with noncollinear order},
  author={Andrea Pelissetto and Paolo Rossi and Ettore Vicari},
  journal={Physical Review B},
  year={2001},
  volume={63},
  pages={140414}
}
We study the critical behavior of frustrated spin models with noncollinear order, including stacked triangular antiferromagnets and helimagnets. For this purpose we compute the field-theoretic expansions at fixed dimension to six loops and determine their large-order behavior. For the physically relevant cases of two and three components, we show the existence of a new stable fixed point that corresponds to the conjectured chiral universality class. This contradicts previous three-loop… 
Critical behavior of frustrated spin systems with nonplanar orderings
The critical behavior of frustrated spin systems with nonplanar orderings is analyzed by a six-loop study in fixed dimension of an effective O(N)×O(M) Landau-Ginzburg-Wilson Hamiltonian. For this
On the criticality of frustrated spin systems with noncollinear order
We analyse the universal features of the critical behaviour of frustrated spin systems with noncollinear order. By means of the field theoretical renormalization group approach, we study the 3D model
Study of critical properties of the frustrated antiferromagnetic Heisenberg model on a triangular lattice
The replica Monte Carlo method has been applied to study critical properties of the three-dimensional frustrated antiferromagnetic Heisenberg model on a layered triangular lattice. Magnetic and
Fixed points in frustrated magnets revisited
We analyze the validity of perturbative renormalization group estimates obtained within the fixed dimension approach of frustrated magnets. We reconsider the resummed five-loop β-functions obtained
Phase transitions and critical properties of the frustrated Heisenberg model on a layer triangular lattice with next-to-nearest-neighbor interactions
The critical behavior of the three-dimensional antiferromagnetic Heisenberg model with nearest-neighbor (J) and next-to-nearest-neighbor (J1) interactions is studied by the replica Monte Carlo
Chiral critical behavior of frustrated spin systems in two dimensions from five-loop renormalization-group expansions
We analyze the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group (RG) approximation. The structure of the RG flow is
Frustrated magnets in three dimensions: a nonperturbative approach
Frustrated magnets exhibit unusual critical behaviours: they display scaling laws accompanied by nonuniversal critical exponents. This suggests that these systems generically undergo very weak
Phase Transition in Frustrated Heisenberg Antiferromagnet on a Triangular Lattice with Next-Nearest Neighbor Interactions
We study the critical behavior of three-dimensional antiferromagnet Heisenberg model with nearest-neighbor (J) and next-nearest-neighbor (J1) interactions by the Monte Carlo method using a
Chiral phase transitions: Focus driven critical behavior in systems with planar and vector ordering
The fixed point that governs the critical behavior of magnets described by the N-vector chiral model under the physical values of N $(N=2,3)$ is shown to be a stable focus both in two and three
...
...