The Statistics of Honeycomb and Triangular Lattice. II

Статистика медовой и треугольной решёток. II
Itiro Syôzi
1950-05-01

Kagomé latticeantiferromagnetic Ising modelhoneycomb latticelattice statisticstriangular lattice
Journal of the Physical Society of Japan 60 (1991) pp. 1513-1522 Structure of Ground States of Antiferromagnetic Ising Model with General-Spin on Triangular Lattice Tsuyoshi Horiguchi, Ojiro Nagai and Seiji Miyashita Journal of the Physical Society of Japan 60 (1991) pp. 1523-1532 Determination of the Critical Points of Antiferromagnetic Ising Model with Next Nearest Neighbour Interactions on the Triangular Lattice Seiji Miyashita, Hidetsugu Kitatani and Yasumasa Kanada Journal of the Physical Society of Japan 61 (1992) pp. 64-69 Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice Tsuyoshi Horiguchi, Kazuyuki Tanaka and Tohru Morita Journal of the Physical Society of Japan 75 (2006) 123704 (4 pages) Phase Diagram of Spinless Fermions on an Anisotropic Triangular Lattice at Half-filling Chisa Hotta, Nobuo Furukawa, Akihiko Nakagawa and Kenn Kubo Journal of the Physical Society of Japan 77 (2008) 074002 (10 pages) Numerical Study of Classical Spins on Soccer Ball Lattice Yasunobu Nakamura Progress of Theoretical Physics Vol. 6 No. 3 (1951) pp. 306-308 Statistics of Kagomé Lattice Itiro Syôzi Progress of Theoretical Physics Vol. 6 No. 4 (1951) pp. 533-542 On the Crystal Statistics of Two-Dimensional Ising Ferromagnets Tunenobu Yamamoto Progress of Theoretical Physics Vol. 10 No. 2 (1953) pp. 158-172 Antiferromagnetism. The Kagomé Ising Net Kenzi Kanô and Shigeo Naya Progress of Theoretical Physics Vol. 11 No. 1 (1954) pp. 53-62 On the Spontaneous Magnetizations of Honeycomb and Kagomé Ising Lattices Shigeo Naya Progress of Theoretical Physics Supplement No.87 (1986) pp. 112-126 The Ground State and Thermodynamic Properties of Generalized Heisenberg Models on the Triangular Lattice Seiji Miyashita
1
It covers antiferromagnetic Ising models, including general-spin systems, next-nearest-neighbor interactions, ground-state structure, critical-point determination, and low-temperature behavior.
2
It includes research on spinless fermions on anisotropic triangular lattices at half-filling and classical spins on the soccer-ball lattice.
3
The listed works also address crystal statistics, spontaneous magnetization, kagome Ising nets, and generalized Heisenberg models on triangular lattices.
4
The provided abstract is a bibliography-like list of studies on statistical mechanics of honeycomb, triangular, kagome, soccer-ball, and related lattices.

Honeycomb and triangular lattices

Statistical properties and lattice-structure-related behavior

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1950-05-01
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Itiro Syôzi
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