Exact renormalization analysis of a self-similar phase diagram with upsilon points for an Ising model

Kazuo Sasaki

研究成果: Article査読

3 被引用数 (Scopus)

抄録

The ground-state phase diagram is analyzed for a one-dimensional Ising model with long range interaction in the presence of uniform and staggered magnetic fields; the interaction is antiferromagnetic and its strength decays exponentially with distance. The exact renormalization formulas for the interactions between interfaces are derived, which is used to calculate the phase diagram hierarchically. The phase diagram is self-similar, and it contains upsilon points and devil's staircases; this agrees with the result of Aubry, Axel and Vallet [J. Phys. C 18 (1985) 753] for an equivalent, model obtained by a different method. A simple "phase rule" presenting what kind of phases appear and how they are located in the phase diagram is derived. The application of this rule to the phase diagram of betaine calcium chloride dihydrate is discussed.

本文言語English
ページ(範囲)3562-3574
ページ数13
ジャーナルjournal of the physical society of japan
68
11
DOI
出版ステータスPublished - 1999 11月
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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