Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/86504
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dc.contributorDepartment of Applied Physics-
dc.creatorWu, Pak Hong Raymond-
dc.identifier.urihttps://theses.lib.polyu.edu.hk/handle/200/7091-
dc.language.isoEnglish-
dc.titleCritical behavior of the random-bond clock model-
dc.typeThesis-
dcterms.abstractThe 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 Tc for both pure and disordered systems is determined from the critical exponent η(Tc)=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.-
dcterms.accessRightsopen access-
dcterms.educationLevelM.Phil.-
dcterms.extent91 leaves : ill. ; 30 cm.-
dcterms.issued2013-
dcterms.LCSHMathematical physics.-
dcterms.LCSHHong Kong Polytechnic University -- Dissertations-
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