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

Kyu Won Lee, Cheol Eui Lee

Research output: Contribution to journalArticle

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 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.

Original languageEnglish
Pages (from-to)697-700
Number of pages4
JournalSolid State Communications
Volume129
Issue number11
DOIs
Publication statusPublished - 2004 Mar 1

Fingerprint

Ising model
crossovers
interlayers
exponents
Temperature
interactions
simulation
Monte Carlo simulation

Keywords

  • A. Magnetically ordered materials
  • D. Phase transitions

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Size-driven dimensional crossover in the quasi-two-dimensional Ising model. / Lee, Kyu Won; Lee, Cheol Eui.

In: Solid State Communications, Vol. 129, No. 11, 01.03.2004, p. 697-700.

Research output: Contribution to journalArticle

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