First order transition induced by topological defects in the O(3) principal chiral model

Abstract

Using Monte Carlo simulations, we study thermal and critical properties of two systems, in which domain walls and so-called $Z_2$-vortices as topological defects are presented. The main model is a lattice version of the $O(3)$ principal chiral model. We find a first order transition and give qualitative arguments that the first order is induced by topological defects. We also consider the model of frustrated antiferromagnet on a square lattice with the additional exchange interaction between spins of the third range order. This model belongs to the same symmetry class. In this model, a transition is of first order too.

9 pages, 19 figures

References in corpus (5)

• Unusual ordered phases of highly frustrated magnets: a review
• Low temperature broken symmetry phases of spiral antiferromagnets
• Signature of a Z_2 vortex in the dynamical correlations of the triangular-lattice Heisenberg antiferromagnet
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice
• First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model

Cited by in corpus (2)

• Kinklike structures in models of the Dirac-Born-Infeld type
• Kinklike structures in an arcsin real scalar dynamics