2005
DOI: 10.1088/1742-5468/2005/12/p12002
|View full text |Cite
|
Sign up to set email alerts
|

Multicritical behaviour in the fully frustratedXYmodel and related systems

Abstract: Abstract. We study the phase diagram and critical behavior of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model, and a coupled Ising-XY model. We present a finite-size-scaling analysis of the results of high-precision Monte Carlo simulations on square lattices L × L, up to L = O(10 3 ). In the FFXY model and in the other models, when the transitions are contin… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

6
115
0

Year Published

2013
2013
2019
2019

Publication Types

Select...
10

Relationship

1
9

Authors

Journals

citations
Cited by 101 publications
(121 citation statements)
references
References 121 publications
6
115
0
Order By: Relevance
“…Such fractional vortices are found for many models from the class of the Ising-O(2) model: the fully frustrated XY model 36,37 , XY antiferromagnet on a triangular lattice 38 , XY helimagnets 39,40 , etc. The second scenario when two transitions coincide is also observed in the Ising-XY model [41][42][43][44][45] and XY J 1 -J 3 model on a square lattice 46 . (The N = 3 case of the last model is considered in the current study, see the description of the model below.)…”
Section: Korshunov Arguedmentioning
confidence: 66%
“…Such fractional vortices are found for many models from the class of the Ising-O(2) model: the fully frustrated XY model 36,37 , XY antiferromagnet on a triangular lattice 38 , XY helimagnets 39,40 , etc. The second scenario when two transitions coincide is also observed in the Ising-XY model [41][42][43][44][45] and XY J 1 -J 3 model on a square lattice 46 . (The N = 3 case of the last model is considered in the current study, see the description of the model below.)…”
Section: Korshunov Arguedmentioning
confidence: 66%
“…This would suggest a first-order transition. It is also possible that more than one transition is present, each of them associated to a partial decoupling of some degrees of freedom, hence to a different symmetry-breaking pattern, as it happens in two-dimensional frustrated XY models [45]. In this case, continuous transition would still be possible.…”
Section: Resultsmentioning
confidence: 99%
“…Algebraically decaying correlations and frustration effects typically render two dimensional U(1) × Z 2 -symmetric models difficult to investigate numerically 18 . In this work we emply a non-equilibrium approach, namely that of short time critical dynamics (STCD).…”
mentioning
confidence: 99%