Exact Ground-State Energy of the Ising Spin Glass on Strips

Tadashi Kadowaki, Yoshihiko Nonomura, Hidetoshi Nishimori

研究成果: Article査読

8 被引用数 (Scopus)

抄録

We propose a new method for exact analytical calculation of the ground-state energy of the Ising spin glass on strips. An outstanding advantage of this method over the numerical transfer matrix technique is that the energy is obtained for complex values of the probability describing quenched randomness. We study the ±J and the site-random models using this method for strips of various sizes up to 5 × ∞. The ground-state energy of these models is found to have singular points in the complex-probability plane, reminiscent of Lee-Yang zeros in the complexfield plane for the Ising ferronmgnet. The ±J Ising model has a series of singularities which may approach a limiting point around p ∼ 0.9 on the real axis in the limit of infinite width.

本文言語English
ページ(範囲)1609-1616
ページ数8
ジャーナルjournal of the physical society of japan
65
6
DOI
出版ステータスPublished - 1996
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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