Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions

Abstract

We discover an example where the dissociation of the Z2 vortices occurs at the second-order phase transition point. We investigate the nature of phase transition in a classical Heisenberg model on a distorted triangular lattice with competing interactions. The order parameter space of the model is SO(3)xZ2. The dissociation of the Z2 vortices which comes from SO(3) and a second-order phase transition with Z2 symmetry breaking occur at the same temperature. We also find that the second-order phase transition belongs to the universality class of the two-dimensional Ising model.

5 pages, 3 figures

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Cited by in corpus (6)

• Z_2-vortex lattice in the ground state of the triangular Kitaev-Heisenberg model
• From skyrmions to Z2 vortices in distorted chiral antiferromagnets
• Berezinskii-Kosterlitz-Thouless transition of spin-1 spinor Bose gases in the presence of the quadratic Zeeman effect
• First order transition induced by topological defects in the O(3) principal chiral model
• Stabilization and modulation of the topological magnetic phase with a $Z_2$-vortex lattice in the Kitaev-Heisenberg honeycomb model: The key role of the third-nearest-neighbor interaction
• Interlayer-Interaction Dependence of Latent Heat in the Heisenberg Model on a Stacked Triangular Lattice with Competing Interactions