Critical behavior of the random-bond clock model

Raymond P H Wu; Veng Cheong Lo; Haitao Huang

doi:10.1063/1.4751605

Critical behavior of the random-bond clock model

Raymond P H Wu, Veng Cheong Lo, Haitao Huang

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-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 language	English
Title of host publication	2nd International Advances in Applied Physics and Materials Science Congress
Pages	253-256
Number of pages	4
Volume	1476
DOIs	https://doi.org/10.1063/1.4751605
Publication status	Published - 1 Dec 2012
Event	2nd International Advances in Applied Physics and Materials Science Congress, APMAS 2012 - Antalya, Turkey Duration: 26 Apr 2012 → 29 Apr 2012

Conference

Conference	2nd International Advances in Applied Physics and Materials Science Congress, APMAS 2012
Country/Territory	Turkey
City	Antalya
Period	26/04/12 → 29/04/12

Keywords

Gaussian distribution
Kosterlitz-Thouless transition
random-bond clock model

ASJC Scopus subject areas

General Physics and Astronomy

More information

10.1063/1.4751605

http://hdl.handle.net/10397/6025

Cite this

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title = "Critical behavior of the random-bond clock model",

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.",

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AU - Huang, Haitao

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N2 - 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.

AB - 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.

KW - Gaussian distribution

KW - Kosterlitz-Thouless transition

KW - random-bond clock model

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BT - 2nd International Advances in Applied Physics and Materials Science Congress

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Y2 - 26 April 2012 through 29 April 2012

ER -

Critical behavior of the random-bond clock model

Abstract

Conference

Keywords

ASJC Scopus subject areas

More information

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