J. Phys. Soc. Jpn. 91, 104603 (2022) [7 Pages]
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Small Spin Clusters Mimicking a Temperature-Induced Phase Transition: Spins on Vertices of Regular Octahedron and Icositetrachoron

+ Affiliations
Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan

Monte Carlo simulations yielded examples of small spin clusters that exhibit a qualitative change in their character upon temperature variation. Headless spins on vertices of the regular octahedron (6 spins) and icositetrachoron (24 spins), a hyper polyhedron in dimension four, communicate with the neighbors through interaction that prefers mutual twists. The qualitative change arises from the twist interaction and the triangular “lattice” geometry, often tempting to bring frustration.

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