Size-driven dimensional crossover in the quasi-two-dimensional Ising model

Kyu Won Lee; Cheol Eui Lee

doi:10.1016/j.ssc.2003.12.029

Size-driven dimensional crossover in the quasi-two-dimensional Ising model

Kyu Won Lee, Cheol Eui Lee^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We have studied the finite size effect in the quasi-two-dimensional Ising model by using a Monte Carlo simulation. A marked finite size effect was found with decreasing interlayer interaction. Aside from the well-known three- to two-dimensional crossover, a three- to one-dimensional crossover at a crossover size L_c ∼ (λ/2)^-ν/φ was revealed as an origin of the marked finite size effect, where λ is the interlayer to intralayer interaction ratio, and ν and φ are the critical exponent for the correlation length and the crossover exponent, respectively. While the former crossover is driven by temperature, the latter is driven by size at a fixed λ.

Original language	English
Pages (from-to)	697-700
Number of pages	4
Journal	Solid State Communications
Volume	129
Issue number	11
DOIs	https://doi.org/10.1016/j.ssc.2003.12.029
Publication status	Published - 2004 Mar

Bibliographical note

Funding Information:
This work was supported by the KISTEP (National Research Laboratory and M102KS010001-02K1901-01814) and by the Brain Korea 21 Project in 2003.

Keywords

A. Magnetically ordered materials
D. Phase transitions

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics
Materials Chemistry

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10.1016/j.ssc.2003.12.029

Cite this

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title = "Size-driven dimensional crossover in the quasi-two-dimensional Ising model",

abstract = "We have studied the finite size effect in the quasi-two-dimensional Ising model by using a Monte Carlo simulation. A marked finite size effect was found with decreasing interlayer interaction. Aside from the well-known three- to two-dimensional crossover, a three- to one-dimensional crossover at a crossover size Lc ∼ (λ/2)-ν/φ was revealed as an origin of the marked finite size effect, where λ is the interlayer to intralayer interaction ratio, and ν and φ are the critical exponent for the correlation length and the crossover exponent, respectively. While the former crossover is driven by temperature, the latter is driven by size at a fixed λ.",

keywords = "A. Magnetically ordered materials, D. Phase transitions",

author = "Lee, \{Kyu Won\} and Lee, \{Cheol Eui\}",

note = "Funding Information: This work was supported by the KISTEP (National Research Laboratory and M102KS010001-02K1901-01814) and by the Brain Korea 21 Project in 2003.",

year = "2004",

month = mar,

doi = "10.1016/j.ssc.2003.12.029",

language = "English",

volume = "129",

pages = "697--700",

journal = "Solid State Communications",

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publisher = "Elsevier Ltd",

number = "11",

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T1 - Size-driven dimensional crossover in the quasi-two-dimensional Ising model

AU - Lee, Kyu Won

AU - Lee, Cheol Eui

N1 - Funding Information: This work was supported by the KISTEP (National Research Laboratory and M102KS010001-02K1901-01814) and by the Brain Korea 21 Project in 2003.

PY - 2004/3

Y1 - 2004/3

N2 - We have studied the finite size effect in the quasi-two-dimensional Ising model by using a Monte Carlo simulation. A marked finite size effect was found with decreasing interlayer interaction. Aside from the well-known three- to two-dimensional crossover, a three- to one-dimensional crossover at a crossover size Lc ∼ (λ/2)-ν/φ was revealed as an origin of the marked finite size effect, where λ is the interlayer to intralayer interaction ratio, and ν and φ are the critical exponent for the correlation length and the crossover exponent, respectively. While the former crossover is driven by temperature, the latter is driven by size at a fixed λ.

AB - We have studied the finite size effect in the quasi-two-dimensional Ising model by using a Monte Carlo simulation. A marked finite size effect was found with decreasing interlayer interaction. Aside from the well-known three- to two-dimensional crossover, a three- to one-dimensional crossover at a crossover size Lc ∼ (λ/2)-ν/φ was revealed as an origin of the marked finite size effect, where λ is the interlayer to intralayer interaction ratio, and ν and φ are the critical exponent for the correlation length and the crossover exponent, respectively. While the former crossover is driven by temperature, the latter is driven by size at a fixed λ.

KW - A. Magnetically ordered materials

KW - D. Phase transitions

UR - https://www.scopus.com/pages/publications/0742285827

U2 - 10.1016/j.ssc.2003.12.029

DO - 10.1016/j.ssc.2003.12.029

M3 - Article

AN - SCOPUS:0742285827

SN - 0038-1098

VL - 129

SP - 697

EP - 700

JO - Solid State Communications

JF - Solid State Communications

IS - 11

ER -

Size-driven dimensional crossover in the quasi-two-dimensional Ising model

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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