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Title: Critical behavior of the random-bond clock model
Authors: Wu, RPH
Lo, VC
Huang, H 
Issue Date: 2012
Source: AIP Conference proceedings, 2012, v. 1476, p. 253-256
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 8-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. Our results show 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: Random-bond clock model
Kosterlitz-Thouless transition
Gaussian distribution
Publisher: American Institute of Physics
ISBN: 978-0-7354-1085-5
ISSN: 0094-243X (print)
1551-7616 (eISSN)
DOI: 10.1063/1.4751605
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 Raymond P. H. Wu, V.-. Lo & H. Huang, AIP Conf. Proc. 1476, 253-256 (2012) and may be found at
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