Topological Order in an Antiferomagnetic Tetratic
arXiv:2111.14895 · doi:10.1103/PhysRevLett.128.255501
Abstract
We study lattice melting in two dimensional antiferromagnets. We argue that, for strong enough magnetic interactions, single lattice dislocations are prohibitive due to magnetic frustration. This leads to a melting scenario in which a tetratic phase, composed of free dislocation pairs and bound disclinations, separates the solid from the liquid phases. We demonstrate this phase numerically in a system of hard spheres confined between parallel plates, where spins are represented by the the heights of the spheres. We find that, in the tetratic phase, the spins are as antiferromagnetically ordered as allowed by their spatial configuration.
References in corpus (17)
- Two-step melting in two dimensions: First-order liquid-hexatic transition
- Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods
- Geometric Frustration in Buckled Colloidal Monolayers
- Event-chain Monte Carlo algorithms for hard-sphere systems
- Tetratic Order in the Phase Behavior of a Hard-Rectangle System
- Dual Order Parameter for the Nodal Liquid
- Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
- Two-stage melting induced by dislocations and grain boundaries in Monolayers of Hard Spheres
- Shape and symmetry determine two-dimensional melting transitions of hard regular polygons
- Topological defects produce exotic mechanics in complex metamaterials
- Melting of the classical bilayer Wigner crystal: influence of the lattice symmetry
- Stripes, Zigzags, and Slow Dynamics in Buckled Hard Spheres
- Phase diagram and melting scenarios of two-dimensional Hertzian spheres
- Skymrion lattice melting in the quantum Hall system
- Stripe fractionalization II: the quantum spin nematic and the Abrikosov lattice
- A new mechanism of structural transition in 2D Hertzian spheres in the presence of random pinning
- Liquid antiferromagnets in two dimensions