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

Pasquale Calabrese·Pietro Parruccini
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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 $η$ which is $η=0.24(6)$ and $η=0.29(5)$ for N=3 and 2 respectively.

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Pasquale Calabrese, Pietro Parruccini. 2001-05-29. The critical behavior of 2-d frustrated spin models with noncollinear order. https://doi.org/10.1103/physrevb.64.184408

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