Magnetic Phase Diagram of the Ising Model on a Triangular Lattice with Antiferromagnetic Nearest-Neighbor and Next-Nearest-Neighbor Interactions

Koichi Takasaki, Isao Harada, Takashi Tonegawa

研究成果査読

6 被引用数 (Scopus)

抄録

The temperature versus magnetic field phase diagram of the Ising model on a two-dimensional triangular lattice with nearest-neighbor and next-nearest-neighbor interactions is calculated by using the interface method of Müller-Hartmann and Zittartz. Both interactions are assumed to be antiferromagnetic, while the interaction ratio assumes arbitrary positive values. The resulting phase diagrams contain correctly various commensurate phases obtained in the ground state analysis. It is found that no commensurate phase is stable down to zero temperature at certain critical fields. This is explained as a consequence of the geometrical nature of the spin structures of two adjacent commensurate phases. For certain values of the interaction ratio, the phase diagrams are compared favorably with the Monte Carlo results obtained by Saito.

本文言語English
ページ(範囲)4423-4434
ページ数12
ジャーナルjournal of the physical society of japan
55
12
DOI
出版ステータスPublished - 12月 1986
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学一般

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