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.

arXiv comment9 pages, 19 figures

References in corpus (25)

• Unusual ordered phases of highly frustrated magnets: a review
• Two phase transitions in the fully frustrated $XY$ model
• Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Multicritical behavior in the fully frustrated XY model and related systems
• Z_2-vortex ordering of the triangular-lattice Heisenberg antiferromagnet
• A Renormalization Group Study of Helimagnets in D=2+EPSILON Dimensions
• Kink pairs unbinding on domain walls and the sequence of phase transitions in fully frustrated XY models
• Conformal Anomaly and Critical Exponents of the XY-Ising Model
• Monte Carlo study of the Villain version of the fully frustrated XY model
• Low temperature broken symmetry phases of spiral antiferromagnets
• New Universality Classes for Two-Dimensional $\sigma$-Models
• 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
• O(N) and RP^{N-1} Models in Two Dimensions
• Monte Carlo Simulation of the Heisenberg Antiferromagnet on a Triangular Lattice: Topological Excitations
• Transitions and crossover phenomena in fully frustrated XY systems
• First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model
• Spin-stiffness and topological defects in two-dimensional frustrated spin systems
• On the question of universality in $\RPn$ and $\On$ Lattice Sigma Models
• Z2-vortex order of frustrated Heisenberg antiferromagnets in two dimensions
• The Heisenberg antiferromagnet on a triangular lattice: topological excitations
• First-Order Phase Transition with Breaking of Lattice Rotation Symmetry in Continuous-Spin Model on Triangular Lattice
• Chiral Spin Liquid in two-dimensional XY Helimagnets
• Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions
• Interplay of topology and geometry in frustrated 2d Heisenberg magnets

Cited by in corpus (6)

• Kinklike structures in models of the Dirac-Born-Infeld type
• Critical density of topological defects upon a continuous phase transition
• Topological defects and critical phenomena in two-dimensional frustrated helimagnets
• Scalar field models driven by Dirac-Born-Infeld dynamics and their relatives
• Kinklike structures in an arcsin real scalar dynamics
• Topological fine structure of smectic grain boundaries and tetratic disclination lines within three-dimensional smectic liquid crystals