Transitions and crossover phenomena in fully frustrated XY systems

We study the two-dimensional fully frustrated XY (FFXY) model and two related models, a discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model and a coupled Ising-XY model, by means of Monte Carlo simulations on square lattices L2, L≲103. We show that their...

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Bibliographic Details
Main Authors: Hasenbusch, Martin (Author) , Pelissetto, Andrea (Author) , Vicari, Ettore (Author)
Format: Article (Journal)
Language:English
Published: 2 November 2005
In: Physical review. B, Condensed matter and materials physics
Year: 2005, Volume: 72, Issue: 18, Pages: 1-5
ISSN:1550-235X
DOI:10.1103/PhysRevB.72.184502
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.72.184502
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.72.184502
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Author Notes:Martin Hasenbusch, Andrea Pelissetto, and Ettore Vicari
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Summary:We study the two-dimensional fully frustrated XY (FFXY) model and two related models, a discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model and a coupled Ising-XY model, by means of Monte Carlo simulations on square lattices L2, L≲103. We show that their phase diagram is characterized by two very close chiral and spin transitions, at Tch>Tsp respectively, of the Ising and Kosterlitz-Thouless type. At Tch the Ising regime sets in only after a preasymptotic regime, which appears universal to some extent. The approach is nonmonotonic for most observables, with a wide region controlled by an effective exponent νeff≈0.8.
Item Description:Gesehen am 05.07.2022
Physical Description:Online Resource
ISSN:1550-235X
DOI:10.1103/PhysRevB.72.184502