Phase diagram of generalized fully frustrated XY model in two dimensions

Abstract

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) transition, as well as a stable phase characterized by a finite helicity modulus ${\rm Y}$ and an unbroken chirality symmetry. The crossing point itself is consistent with a critical point without any jump in ${\rm Y}$, with the size ($L$) scaling and the critical index $\nu \approx 0.77$. The KT transition line remains continuous beyond the crossing but eventually turns into a first-order line. The results are established using Monte-Carlo simulations of the staggered magnetization, helicity modulus, and the fourth-order helicity modulus.

5 pages, 5 figures, in two columns

References in corpus (5)

• Two phase transitions in the fully frustrated $XY$ model
• Multicritical behavior in the fully frustrated XY model and related systems
• Kink pairs unbinding on domain walls and the sequence of phase transitions in fully frustrated XY models
• Direct Evidence of the Discontinuous Character of the Kosterlitz-Thouless Jump
• CFT description of the Fully Frustrated XY model and phase diagram analysis

Cited by in corpus (8)

• Phase diagram of the classical Heisenberg antiferromagnet on a triangular lattice in applied magnetic field
• Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
• Nematic and chiral orders for planar spins on triangular lattice
• Curvature-induced frustration in the $XY$ model on hyperbolic surfaces
• Chiral Spin Liquid in two-dimensional XY Helimagnets
• Nonequilibrium critical relaxations of the order parameter and energy in the two-dimensional ferromagnetic Potts model
• Symmetry-allowed phase transitions realized by the two-dimensional fully frustrated XY class
• Physical realization of the generalized fully frustrated XY model in an array of SFS junctions