J. Phys. Soc. Jpn. 90, 124003 (2021) [11 Pages]
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Two-Dimensional Spin Model Possibly Undergoing a Phase Transition: Heisenberg Model of Headless Spins Preferring Twist on Triangular Lattice

Kazuya Saito , Mafumi Hishida , and Yasuhisa Yamamura
+ Affiliations
Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
Received January 14, 2021; Accepted November 4, 2021; Published November 30, 2021

Numerical experiments on the Heisenberg model of headless spins are performed for the two-dimensional triangular lattice. The assumed model is with the two-body interaction preferring twisted alignment, which tends to exhibit sublattice order at the absolute zero. A possible phase transition is suggested based on prolonged Monte Carlo steps necessary for equilibration, a pronounced peak of heat capacity, and local violation of the sixfold symmetry inherent to the lattice. The entropy gain associated with the heat capacity peak implies that the transition accompanies the disordering over three spin orientations defined locally.

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https://doi.org/10.7566/JPSJ.90.124003

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