Magnetic phase transition in Heisenberg antiferromagnetic films with easy-axis single-ion anisotropy

Kok Kwei Pan

doi:10.1016/j.physa.2011.11.048

Magnetic phase transition in Heisenberg antiferromagnetic films with easy-axis single-ion anisotropy

Kok Kwei Pan^*

^*Corresponding author for this work

Center for General Education

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

13 Scopus citations

Abstract

The staggered susceptibility of spin-1 and spin-3/2 Heisenberg antiferromagnet with easy-axis single-ion anisotropy on the cubic lattice films consisting of n=2, 3, 4, 5 and 6 interacting square lattice layers is studied by high-temperature series expansions. Sixth order series in J^kBT have been obtained for free-surface boundary conditions. The dependence of the Néel temperature on film thickness n and easy-axis anisotropy D has been investigated. The shifts of the Néel temperature from the bulk value can be described by a power law n-^λ with a shift exponent λ, where λ is the inverse of the bulk correlation length exponent. The effect of easy-axis single-ion anisotropy on shift exponent of antiferromagnetic films has been studied. A comparison is made with related works. The results obtained are qualitatively consistent with the predictions of finite-size scaling theory.

Original language	English
Pages (from-to)	1984-1990
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	391
Issue number	5
DOIs	https://doi.org/10.1016/j.physa.2011.11.048
State	Published - 01 03 2012

Keywords

Critical behavior
Easy-axis single-ion anisotropy
Heisenberg antiferromagnetic films
Shift exponent

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10.1016/j.physa.2011.11.048

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title = "Magnetic phase transition in Heisenberg antiferromagnetic films with easy-axis single-ion anisotropy",

abstract = "The staggered susceptibility of spin-1 and spin-3/2 Heisenberg antiferromagnet with easy-axis single-ion anisotropy on the cubic lattice films consisting of n=2, 3, 4, 5 and 6 interacting square lattice layers is studied by high-temperature series expansions. Sixth order series in JkBT have been obtained for free-surface boundary conditions. The dependence of the N{\'e}el temperature on film thickness n and easy-axis anisotropy D has been investigated. The shifts of the N{\'e}el temperature from the bulk value can be described by a power law n-λ with a shift exponent λ, where λ is the inverse of the bulk correlation length exponent. The effect of easy-axis single-ion anisotropy on shift exponent of antiferromagnetic films has been studied. A comparison is made with related works. The results obtained are qualitatively consistent with the predictions of finite-size scaling theory.",

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N2 - The staggered susceptibility of spin-1 and spin-3/2 Heisenberg antiferromagnet with easy-axis single-ion anisotropy on the cubic lattice films consisting of n=2, 3, 4, 5 and 6 interacting square lattice layers is studied by high-temperature series expansions. Sixth order series in JkBT have been obtained for free-surface boundary conditions. The dependence of the Néel temperature on film thickness n and easy-axis anisotropy D has been investigated. The shifts of the Néel temperature from the bulk value can be described by a power law n-λ with a shift exponent λ, where λ is the inverse of the bulk correlation length exponent. The effect of easy-axis single-ion anisotropy on shift exponent of antiferromagnetic films has been studied. A comparison is made with related works. The results obtained are qualitatively consistent with the predictions of finite-size scaling theory.

AB - The staggered susceptibility of spin-1 and spin-3/2 Heisenberg antiferromagnet with easy-axis single-ion anisotropy on the cubic lattice films consisting of n=2, 3, 4, 5 and 6 interacting square lattice layers is studied by high-temperature series expansions. Sixth order series in JkBT have been obtained for free-surface boundary conditions. The dependence of the Néel temperature on film thickness n and easy-axis anisotropy D has been investigated. The shifts of the Néel temperature from the bulk value can be described by a power law n-λ with a shift exponent λ, where λ is the inverse of the bulk correlation length exponent. The effect of easy-axis single-ion anisotropy on shift exponent of antiferromagnetic films has been studied. A comparison is made with related works. The results obtained are qualitatively consistent with the predictions of finite-size scaling theory.

KW - Critical behavior

KW - Easy-axis single-ion anisotropy

KW - Heisenberg antiferromagnetic films

KW - Shift exponent

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DO - 10.1016/j.physa.2011.11.048

M3 - 文章

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SN - 0378-4371

VL - 391

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EP - 1990

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 5

ER -

Magnetic phase transition in Heisenberg antiferromagnetic films with easy-axis single-ion anisotropy

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Keywords

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