Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice

Tsuyoshi Horiguchi; Kazuyuki Tanaka; Tohru Morita

doi:10.1143/JPSJ.61.64

Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice

Tsuyoshi Horiguchi, Kazuyuki Tanaka, Tohru Morita

INF - Applied Information Sciences

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We derive low-temperature expansions of the internal energy, the specific heat and so on for the antiferromagnetic Ising model on a triangular lattice by using the expression obtained by Stephenson. We propose to use ∂T=exp (2βJ) as the reduced temperature variable near the critical temperature. We then conclude the values of the critical exponents α, ν, γ, ∂ and ∂ as α=0, ν=1, γ=3/2, ∂=7 and ∂ =7/4.

Original language	English
Pages (from-to)	64-69
Number of pages	6
Journal	journal of the physical society of japan
Volume	61
Issue number	1
DOIs	https://doi.org/10.1143/JPSJ.61.64
Publication status	Published - 1992 Jan

Keywords

antiferromagnetic Ising model
critical exponents
critical phenomena
triangular lattice

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.61.64

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abstract = "We derive low-temperature expansions of the internal energy, the specific heat and so on for the antiferromagnetic Ising model on a triangular lattice by using the expression obtained by Stephenson. We propose to use ∂T=exp (2βJ) as the reduced temperature variable near the critical temperature. We then conclude the values of the critical exponents α, ν, γ, ∂ and ∂ as α=0, ν=1, γ=3/2, ∂=7 and ∂ =7/4.",

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author = "Tsuyoshi Horiguchi and Kazuyuki Tanaka and Tohru Morita",

year = "1992",

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AU - Horiguchi, Tsuyoshi

AU - Tanaka, Kazuyuki

AU - Morita, Tohru

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Y1 - 1992/1

N2 - We derive low-temperature expansions of the internal energy, the specific heat and so on for the antiferromagnetic Ising model on a triangular lattice by using the expression obtained by Stephenson. We propose to use ∂T=exp (2βJ) as the reduced temperature variable near the critical temperature. We then conclude the values of the critical exponents α, ν, γ, ∂ and ∂ as α=0, ν=1, γ=3/2, ∂=7 and ∂ =7/4.

AB - We derive low-temperature expansions of the internal energy, the specific heat and so on for the antiferromagnetic Ising model on a triangular lattice by using the expression obtained by Stephenson. We propose to use ∂T=exp (2βJ) as the reduced temperature variable near the critical temperature. We then conclude the values of the critical exponents α, ν, γ, ∂ and ∂ as α=0, ν=1, γ=3/2, ∂=7 and ∂ =7/4.

KW - antiferromagnetic Ising model

KW - critical exponents

KW - critical phenomena

KW - triangular lattice

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JF - Journal of the Physical Society of Japan

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Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice

Abstract

Keywords

ASJC Scopus subject areas

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