Critical behavior of the square lattice Blume-Capel model with an alternating anisotropy and next nearest neighbour interaction

Shigenori Matsumoto; Nobuyasu Ito; Kazuo Hida

doi:10.1016/j.phpro.2010.01.206

Critical behavior of the square lattice Blume-Capel model with an alternating anisotropy and next nearest neighbour interaction

Shigenori Matsumoto, Nobuyasu Ito, Kazuo Hida

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

Abstract

Phase diagram and critical phenomena of a frustrated Blume-Capel model with alternating single-ion anisotropy ± D, nearest- and next-nearest-neighbour exchange interactions with equal magnitude J are studied by the Monte Carlo simulations using Wang-Landau sampling and nonequilibrium relaxation method. The collinear ordered phase due to next-nearest-neighbour interaction and partial ordered phase due to alternating anisotropy are confirmed together with a paramagnetic phase. We obtained the numerical results which strongly suggests that a single phase transition at D = 0 splits into two Ising lines as soon as D is switched on. With the increase of D, the critical point of the easy-axis sublattice stays on a usual Ising-like critical line while that of the easy-plane sublattice passes through the tricritical point and the transition becomes of the first order as in the usual Blume-Capel model. © 2010.

Original language	English (US)
Pages (from-to)	1453-1457
Number of pages	5
Journal	Physics Procedia
Volume	3
Issue number	3
DOIs	https://doi.org/10.1016/j.phpro.2010.01.206
State	Published - Feb 2010
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2021-07-02
Acknowledgements: SM and NI are supported by a Grant-in-Aid for Scientific Research (B) No. 19340110 from the Ministry Education, Culture, Sports, Science and Technology Japan, and theGlobal Research Partnership of King Abdullah University of Science and Technology
(KUK-I1-005-04). KH is supported by a Grant-in-Aid for Scientific Research on Priority Areas, ”Novel States of Matter Induced by Frustration” (20046003), from the Ministry of Education, Science, Sports and Culture of Japan.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1016/j.phpro.2010.01.206

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title = "Critical behavior of the square lattice Blume-Capel model with an alternating anisotropy and next nearest neighbour interaction",

abstract = "Phase diagram and critical phenomena of a frustrated Blume-Capel model with alternating single-ion anisotropy ± D, nearest- and next-nearest-neighbour exchange interactions with equal magnitude J are studied by the Monte Carlo simulations using Wang-Landau sampling and nonequilibrium relaxation method. The collinear ordered phase due to next-nearest-neighbour interaction and partial ordered phase due to alternating anisotropy are confirmed together with a paramagnetic phase. We obtained the numerical results which strongly suggests that a single phase transition at D = 0 splits into two Ising lines as soon as D is switched on. With the increase of D, the critical point of the easy-axis sublattice stays on a usual Ising-like critical line while that of the easy-plane sublattice passes through the tricritical point and the transition becomes of the first order as in the usual Blume-Capel model. {\textcopyright} 2010.",

author = "Shigenori Matsumoto and Nobuyasu Ito and Kazuo Hida",

note = "KAUST Repository Item: Exported on 2021-07-02 Acknowledgements: SM and NI are supported by a Grant-in-Aid for Scientific Research (B) No. 19340110 from the Ministry Education, Culture, Sports, Science and Technology Japan, and theGlobal Research Partnership of King Abdullah University of Science and Technology (KUK-I1-005-04). KH is supported by a Grant-in-Aid for Scientific Research on Priority Areas, ”Novel States of Matter Induced by Frustration” (20046003), from the Ministry of Education, Science, Sports and Culture of Japan. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2010",

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doi = "10.1016/j.phpro.2010.01.206",

language = "English (US)",

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T1 - Critical behavior of the square lattice Blume-Capel model with an alternating anisotropy and next nearest neighbour interaction

AU - Matsumoto, Shigenori

AU - Ito, Nobuyasu

AU - Hida, Kazuo

N1 - KAUST Repository Item: Exported on 2021-07-02 Acknowledgements: SM and NI are supported by a Grant-in-Aid for Scientific Research (B) No. 19340110 from the Ministry Education, Culture, Sports, Science and Technology Japan, and theGlobal Research Partnership of King Abdullah University of Science and Technology (KUK-I1-005-04). KH is supported by a Grant-in-Aid for Scientific Research on Priority Areas, ”Novel States of Matter Induced by Frustration” (20046003), from the Ministry of Education, Science, Sports and Culture of Japan. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2010/2

Y1 - 2010/2

N2 - Phase diagram and critical phenomena of a frustrated Blume-Capel model with alternating single-ion anisotropy ± D, nearest- and next-nearest-neighbour exchange interactions with equal magnitude J are studied by the Monte Carlo simulations using Wang-Landau sampling and nonequilibrium relaxation method. The collinear ordered phase due to next-nearest-neighbour interaction and partial ordered phase due to alternating anisotropy are confirmed together with a paramagnetic phase. We obtained the numerical results which strongly suggests that a single phase transition at D = 0 splits into two Ising lines as soon as D is switched on. With the increase of D, the critical point of the easy-axis sublattice stays on a usual Ising-like critical line while that of the easy-plane sublattice passes through the tricritical point and the transition becomes of the first order as in the usual Blume-Capel model. © 2010.

AB - Phase diagram and critical phenomena of a frustrated Blume-Capel model with alternating single-ion anisotropy ± D, nearest- and next-nearest-neighbour exchange interactions with equal magnitude J are studied by the Monte Carlo simulations using Wang-Landau sampling and nonequilibrium relaxation method. The collinear ordered phase due to next-nearest-neighbour interaction and partial ordered phase due to alternating anisotropy are confirmed together with a paramagnetic phase. We obtained the numerical results which strongly suggests that a single phase transition at D = 0 splits into two Ising lines as soon as D is switched on. With the increase of D, the critical point of the easy-axis sublattice stays on a usual Ising-like critical line while that of the easy-plane sublattice passes through the tricritical point and the transition becomes of the first order as in the usual Blume-Capel model. © 2010.

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Critical behavior of the square lattice Blume-Capel model with an alternating anisotropy and next nearest neighbour interaction

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