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

Yusuke Tomita; Milan Žukovič

doi:10.7566/jpsj.83.083001

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arXiv · 1405.4379

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

Yusuke Tomita·Milan Žukovič

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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.

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Yusuke Tomita, Milan Žukovič. 2014-05-17. Incommensurate Short-Range Order in $S=1$ Triangular Lattice Ising Antiferromagnet. https://doi.org/10.7566/jpsj.83.083001

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