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Title: Critical behavior of two-dimensional spin systems under the random-bond six-state clock model
Authors: Wu, RPH
Lo, VC
Huang, H 
Issue Date: 15-Sep-2012
Source: Journal of applied physics, 15 Sept. 2012, v. 112, no. 6, 063924 , p. 1-8
Abstract: The critical behavior of the clock model in two-dimensional square lattice is studied numerically using Monte Carlo method with Wolff algorithm. The Kosterlitz-Thouless (KT) transition is observed in the six-state clock model, where an intermediate phase exists between the low-temperature ordered phase and the high-temperature disordered phase. The bond randomness is introduced to the system by assuming a Gaussian distribution for the coupling coefficients with the mean μ = 1 and different values of variance, from σ² = 0.1 to σ² = 3.0. An abrupt jump in the helicity modulus at the transition, which is the key characteristic of the KT transition, is verified with a stability argument. The critical temperature T[sub c] for both pure and disordered systems is determined from the critical exponent η(T[sub c]) = 1/4. The results showed that a small amount of disorder (small σ) reduces the critical temperature of the system, without altering the nature of transition. However, a larger amount of disorder changes the transition from the KT-type into that of non-KT-type.
Keywords: Critical exponents
Gaussian distribution
Ising model
Kosterlitz-Thouless transition
Magnetic transitions
Monte Carlo methods
Order-disorder transformations
Spin systems
Publisher: American Institute of Physics
Journal: Journal of applied physics 
ISSN: 0021-8979
EISSN: 1089-7550
DOI: 10.1063/1.4754821
Rights: © 2012 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in R. P. H. Wu et al., J. Appl. Phys. 112, 063924 (2012) and may be found at
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