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The Stochastic Extraction of Critical Temperature in Uniaxial Anisotropic Magnetic Films: A Finite Size Scaling Analysis on Harmonic Order Parameters.

Authors :
Kanchiang, Kanokwan
Yimnirun, Rattikorn
Laosiritaworn, Yongyut
Source :
Integrated Ferroelectrics; 2013, Vol. 148 Issue 1, p110-115, 6p
Publication Year :
2013

Abstract

In this work, the critical temperature of Ising ferromagnetic and anti-ferromagnetic systems in 2 dimensions was extracted via finite-size-scaling analysis on the order parameter calculated from the discrete Fourier transformation. Spin patterns under the effect of thermal fluctuation were generated using Monte Carlo simulation. The discrete Fourier transformation was used to transform spin patterns from spatial domain to wave vector domain, where the order parameter was calculated from this Fourier-harmonics. From the result, it was found thatTC= 2.2684 ± 0.0006J/kBfor ferromagnetic system andTC= 2.2689 ± 0.0003J/kBfor anti-ferromagnetic system which match well with the exact theoretical valueTC≈ 2.269J/kB. As can be seen, the critical temperatures of both systems match well with the exact theoretical values. This study is therefore proposing a fundamental knowledge to extract critical behavior from complicated systems, where the exchange parameter is a periodic function of distance. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10584587
Volume :
148
Issue :
1
Database :
Complementary Index
Journal :
Integrated Ferroelectrics
Publication Type :
Academic Journal
Accession number :
92963451
Full Text :
https://doi.org/10.1080/10584587.2013.852044