Symmetry-allowed phase transitions realized by the two-dimensional fully frustrated XY class

@article{Minnhagen2008SymmetryallowedPT,
  title={Symmetry-allowed phase transitions realized by the two-dimensional fully frustrated XY class},
  author={Petter Minnhagen and Beom Jun Kim and Sebastian Bernhardsson and Gerardo Cristofano},
  journal={Physical Review B},
  year={2008},
  volume={78},
  pages={184432}
}
Symmetry-allowed phase transitions realized by the two-dimensional fully frustrated XY class 
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References

SHOWING 1-10 OF 22 REFERENCES
Phase transitions in coupled XY-Ising systems.
TLDR
This work studies the critical behavior of fully frustrated XY and Josephson-junction systems by means of a coupled XY-Ising model, and finds separate XY and Ising and first-order transitions, depending on the parameters.
Two phase transitions in the fully frustrated XY model.
  • Olsson
  • Physics
    Physical review letters
  • 1995
TLDR
The fully frustrated $XY$ model on a square lattice is studied by means of Monte Carlo simulations and the non-Ising exponents reported by others are explained as a failure of finite size scaling due to the screening length associated with the nearby Kosterlitz-Thouless transition.
Phase diagram of generalized fully frustrated XY model in two dimensions
It is shown that the phase diagram of the two-dimensional generalized fully-frustrated XY model on a square lattice contains a crossing of the chirality transition and the Kosterlitz-Thouless (KT)…
Monte Carlo study of frustrated XY models on a triangular and square lattice.
TLDR
Determination par une loi d'echelle en taille finie les exposants critiques associes au parametre d'ordre de chiralite dans une nouvelle classe d'universalite.
Kink pairs unbinding on domain walls and the sequence of phase transitions in fully frustrated XY models.
TLDR
The unbinding of kink pairs on domain walls in the fully frustrated XY model is shown to induce the vanishing of phase coupling across the walls, forcing the phase transition to take place at a lower temperature than the other phase transition, associated with proliferation of the Ising-type domain walls.
CFT description of the fully frustrated XY model and phase diagram analysis
Following an earlier suggestion, we show how the symmetry of the fully frustrated XY (FFXY) model on a square lattice can be accounted for in the framework of the m-reduction procedure developed for…
Topological defects in the fully frustrated XY model and in 3He-A films
The ground states of both the fully frustrated XY model in two dimensions and 3He-A films have Z2*U(1) symmetries. Both line defects (domain walls) and point defects (vortices) can disrupt ordering…
Multicritical behaviour in the fully frustrated XY model and related systems
We study the phase diagram and critical behaviour of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the…
Phase transitions in two-dimensional uniformly frustrated XY spin systems.
TLDR
The nature of phase transitions in a generalized uniformly frustrated square-lattice model with XY spins suggests the existence of an Ising-like transition, and a finite-size-scaling analysis and a visualization of the ordering conclude that these two transitions are merged into a single one of dominant Ising character.
Universal resistive transition for two-dimensional superconductors
Vortex fluctuations are shown to imply that the resistance of a two-dimensional superconductor is a universal function of a certain combination of sample parameters. Analysis of experiments gives…
...
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