The nature of phase transition in the ANNNI model with alternating intralayer interactions

Y. Muraoka; T. Kasama; T. Idogaki

doi:10.1016/j.jmmm.2003.12.423

The nature of phase transition in the ANNNI model with alternating intralayer interactions

Y. Muraoka
, T. Kasama
, T. Idogaki

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

4 Citations (Scopus)

Abstract

We consider an extended 3-d axial next-nearest-neighbor Ising model, which is composed of two kinds of alternately stacked ferromagnetic layers with different intralayer interactions. Monte Carlo simulation is performed on L ³ simple cubic lattice (L = 20-80). Since a minimum of the fourth-order energy cumulant(V_L), which corresponds to phase transition to partially disordered phase, reaches the value very close to 2/3 as L →∞, we conclude that this phase transition is second order. From the finite-size scaling analysis of V_L and specific heat, we estimate the critical exponents.

Original language	English
Pages (from-to)	e995-e996
Journal	Journal of Magnetism and Magnetic Materials
Volume	272-276
Issue number	SUPPL. 1
DOIs	https://doi.org/10.1016/j.jmmm.2003.12.423
Publication status	Published - 05-2004
Externally published	Yes

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1016/j.jmmm.2003.12.423

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title = "The nature of phase transition in the ANNNI model with alternating intralayer interactions",

abstract = "We consider an extended 3-d axial next-nearest-neighbor Ising model, which is composed of two kinds of alternately stacked ferromagnetic layers with different intralayer interactions. Monte Carlo simulation is performed on L 3 simple cubic lattice (L = 20-80). Since a minimum of the fourth-order energy cumulant(VL), which corresponds to phase transition to partially disordered phase, reaches the value very close to 2/3 as L →∞, we conclude that this phase transition is second order. From the finite-size scaling analysis of VL and specific heat, we estimate the critical exponents.",

keywords = "ANNNI model, Monte Carlo simulation, Partially disordered phase, Second-order phase transition",

author = "Y. Muraoka and T. Kasama and T. Idogaki",

year = "2004",

month = may,

doi = "10.1016/j.jmmm.2003.12.423",

language = "English",

volume = "272-276",

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journal = "Journal of Magnetism and Magnetic Materials",

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TY - JOUR

T1 - The nature of phase transition in the ANNNI model with alternating intralayer interactions

AU - Muraoka, Y.

AU - Kasama, T.

AU - Idogaki, T.

PY - 2004/5

Y1 - 2004/5

N2 - We consider an extended 3-d axial next-nearest-neighbor Ising model, which is composed of two kinds of alternately stacked ferromagnetic layers with different intralayer interactions. Monte Carlo simulation is performed on L 3 simple cubic lattice (L = 20-80). Since a minimum of the fourth-order energy cumulant(VL), which corresponds to phase transition to partially disordered phase, reaches the value very close to 2/3 as L →∞, we conclude that this phase transition is second order. From the finite-size scaling analysis of VL and specific heat, we estimate the critical exponents.

AB - We consider an extended 3-d axial next-nearest-neighbor Ising model, which is composed of two kinds of alternately stacked ferromagnetic layers with different intralayer interactions. Monte Carlo simulation is performed on L 3 simple cubic lattice (L = 20-80). Since a minimum of the fourth-order energy cumulant(VL), which corresponds to phase transition to partially disordered phase, reaches the value very close to 2/3 as L →∞, we conclude that this phase transition is second order. From the finite-size scaling analysis of VL and specific heat, we estimate the critical exponents.

KW - ANNNI model

KW - Monte Carlo simulation

KW - Partially disordered phase

KW - Second-order phase transition

UR - https://www.scopus.com/pages/publications/23244434439

UR - https://www.scopus.com/pages/publications/23244434439#tab=citedBy

U2 - 10.1016/j.jmmm.2003.12.423

DO - 10.1016/j.jmmm.2003.12.423

M3 - Article

AN - SCOPUS:23244434439

SN - 0304-8853

VL - 272-276

SP - e995-e996

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

IS - SUPPL. 1

ER -

The nature of phase transition in the ANNNI model with alternating intralayer interactions

Abstract

All Science Journal Classification (ASJC) codes

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