Critical behavior of the random-bond clock model

Raymond P H Wu, Veng Cheong Lo, Haitao Huang

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

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.
Original languageEnglish
Title of host publication2nd International Advances in Applied Physics and Materials Science Congress
Pages253-256
Number of pages4
Volume1476
DOIs
Publication statusPublished - 1 Dec 2012
Event2nd International Advances in Applied Physics and Materials Science Congress, APMAS 2012 - Antalya, Turkey
Duration: 26 Apr 201229 Apr 2012

Conference

Conference2nd International Advances in Applied Physics and Materials Science Congress, APMAS 2012
CountryTurkey
CityAntalya
Period26/04/1229/04/12

Keywords

  • Gaussian distribution
  • Kosterlitz-Thouless transition
  • random-bond clock model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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