| Item type |
学術雑誌論文 / Journal Article(1) |
| 公開日 |
2015-02-06 |
| タイトル |
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タイトル |
Kosterlitz-Thouless phase transition of the axial next-nearest-neighbor Ising model in two dimensions |
| 言語 |
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言語 |
eng |
| 資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
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資源タイプ |
journal article |
| 著者 |
Shirakura, T
Matsubara, F
Suzuki, N
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| 著者(機関) |
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値 |
Faculty of Humanities and Social Sciences, Iwate University |
| 著者(機関) |
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値 |
Department of Applied Physics, Tohoku University |
| 著者(機関) |
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値 |
Faculty of Science and Technology, Tohoku Bunka Gakuen University |
| 登録日 |
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日付 |
2015-02-06 |
| 書誌情報 |
PHYSICAL REVIEW B
巻 90,
号 14,
p. 144410-1-144410-8,
発行日 2014-10-01
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| Abstract |
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内容記述タイプ |
Other |
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内容記述 |
The spin structure of an axial next-nearest-neighbor Ising (ANNNI) model in two dimensions (2D) is a renewed problem because different Monte Carlo (MC) simulation methods predicted different spin orderings. The usual equilibrium simulation predicts the occurrence of a floating incommensurate (IC) Kosterlitz-Thouless (KT) type phase, which never emerges in non-equilibrium relaxation (NER) simulations. In this paper, we first examine previously published results of both methods, and then investigate a higher transition temperature Tc1 between the IC and paramagnetic phases. In the usual equilibrium simulation, we calculate the chain magnetization on larger lattices (up to 512×512 sites) and estimate Tc1≈1.16J with frustration ratio κ(≡−J2/J1)=0.6. We examine the nature of the phase transition in terms of the Binder ratio gL of spin overlap functions and the correlation-length ratio ξ/L. In the NER simulation, we observe the spin dynamics in equilibrium states by means of an autocorrelation function and also observe the chain magnetization relaxations from the ground and disordered states. These quantities exhibit an algebraic decay at T≲1.17J. We conclude that the two-dimensional ANNNI model actually admits an IC phase transition of the KT type. |
| 出版者 |
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出版者 |
American Physical Society |
| 権利 |
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権利情報 |
©2014 American Physical Society |
| DOI |
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関連タイプ |
isIdenticalTo |
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識別子タイプ |
DOI |
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関連識別子 |
10.1103/PhysRevB.90.144410 |
| 著者版フラグ |
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出版タイプ |
VoR |
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出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
prb-v90p144410.pdf (848.4 kB)
