Incommensurate Short-Range Order in $S=1$ Triangular Lattice Ising Antiferromagnet

Abstract

We study the $S=1$ triangular lattice Ising antiferromagnet by Monte Carlo simulations. Frustrations between a major antiferromagnetic third-neighbor interaction $J_3$ and a minor ferromagnetic nearest-neighbor interaction $J_1$ cause incommensurate short-range orders at intermediate temperatures. At low temperatures (below $T/J_3\lesssim 0.2$ for $J_1/J_3=-1/3$), the system exhibits fourfold periodic ordered state. In the short-range order phase, the system shows a glassy two-step relaxation. We demonstrate that the features of the short-range order are attributed to the cooperation between the frustrations and the nonmagnetic Ising spin states which is a particular feature of the integer spin systems.

arXiv comment5 pages, 4 figures

References in corpus (15)

• Anyons in an exactly solved model and beyond
• An efficient, multiple range random walk algorithm to calculate the density of states
• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Dynamical heterogeneities in a supercooled Lennard-Jones liquid
• Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid
• Lattice Glass Models
• Markov Chain Monte Carlo Method without Detailed Balance
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model
• High Field ESR and Magnetization of the Triangular Lattice Antiferromagnet NiGa2S4
• Phase transitions in a triangular Blume-Capel antiferromagnet
• First-Order Phase Transition with Breaking of Lattice Rotation Symmetry in Continuous-Spin Model on Triangular Lattice
• Magnetic phase diagram of the spin-1 two-dimensional J1-J3 Heisenberg model on a triangular lattice
• Stiffness from Disorder in Triangular-Lattice Ising Thin Films
• Quasi Long Range Order of Defects in Frustrated Antiferromagnetic Ising Models on Spatially Anisotropic Triangular Lattices

Cited by in corpus (1)

• Spin Fluctuations from Hertz to Terahertz on a Triangular Lattice