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

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

2001-05-29

arxiv.org/abs/cond-mat/0105551v1

Phys.Rev. B64 (2001) 184408

Physics

Condensed Matter

Statistical Mechanics

11 pages, 8 figures

Scientific paper

10.1103/PhysRevB.64.184408

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.

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