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.

5 pages, 4 figures

References in corpus (4)

• 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
• Phase transitions in a triangular Blume-Capel antiferromagnet