2001
DOI: 10.1103/physrevb.64.184408
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Critical behavior of two-dimensional 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 ) × 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 threecomponent spin models. We also g… Show more

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Cited by 18 publications
(12 citation statements)
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“…Even though we have found no evidence for it, our results do not necessarily contradict those of Ref. [25]. It is possible that the models we have considered are outside the attraction domain of the FT fixed point.…”
Section: Resultscontrasting
confidence: 63%
“…Even though we have found no evidence for it, our results do not necessarily contradict those of Ref. [25]. It is possible that the models we have considered are outside the attraction domain of the FT fixed point.…”
Section: Resultscontrasting
confidence: 63%
“…Thus, our results do not support the field-theoretical results of Refs. [70,65], which provided some evidence for the existence of a stable fixed point in the RG flow of the LGW continuous theory (5). However, they are not necessarily in contradiction, since the lattice models considered here may be outside the attraction domain of the stable fixed point found in Refs.…”
Section: Discussionmentioning
confidence: 50%
“…Note that, within these FD approaches, one also finds a fixed point in d =2 with nontrivial critical exponents in the N = 2 and N =3 cases. 31,33,34 This fact has led to the hypothesis of a Kosterlitz-Thouless-type behavior induced by Z 2 topological defects for Heisenberg spins. 33 The second explanation is based on both the ⑀ =4−d ͑or pseudo-⑀͒ expansion [35][36][37] and the nonperturbative RG ͑NPRG͒ approaches.…”
Section: Introductionmentioning
confidence: 99%
“…31,33,34 This fact has led to the hypothesis of a Kosterlitz-Thouless-type behavior induced by Z 2 topological defects for Heisenberg spins. 33 The second explanation is based on both the ⑀ =4−d ͑or pseudo-⑀͒ expansion [35][36][37] and the nonperturbative RG ͑NPRG͒ approaches. 1,[38][39][40][41] In these approaches, one finds that there exists, within the ͑d , N͒ plane, a line N c ͑d͒ that separates a second-order region for N Ͼ N c from a first-order region for N Ͻ N c .…”
Section: Introductionmentioning
confidence: 99%
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