Berezinskii-Kosterlitz Thouless transition on regular and Villain types of q-state clock models

被引：32

作者：

Surungan, Tasrief ^{[1
]}

Masuda, Shunsuke ^{[2
]}

Komura, Yukihiro ^{[2
,3
]}

Okabe, Yutaka ^{[2
]}

机构：

[1] Hasanuddin Uni Ers, Dept Phys, Makassar 90245, South Sulawesi, Indonesia

[2] Tokyo Metropolitan Univ, Dept Phys, Hachioji, Tokyo 1920397, Japan

[3] CIJ Solut, Chuo Ku, Tokyo 1030023, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2019年 / 52卷 / 27期

基金：

日本学术振兴会;

关键词：

clock model; Villain model; Kosterlitz-Thouless transition; Monte Carlo simulation; cluster spin update; LONG-RANGE ORDER; LOGARITHMIC CORRECTIONS; SUPERFLUID DENSITY; PHASE-TRANSITIONS; UNIVERSAL JUMP; ISING-MODEL; SPIN; TEMPERATURE; SYSTEMS; PLANE;

D O I：

10.1088/1751-8121/ab226d

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study q-state clock models of regular and Villain types with q = 5, 6 using cluster-spin updates and observed double transitions in each model. We calculate the correlation ratio and size-dependent correlation length as quantities for characterizing the existence of Berezinskii-Kosterlitz-Thouless (BKT) phase and its transitions by large-scale Monte Carlo simulations. We discuss the advantage of correlation ratio in comparison to other commonly used quantities in probing BKT transition. Using finite size scaling of BKT type transition, we estimate transition temperatures and corresponding exponents eta. The comparison between the results from both types revealed that the existing transitions belong to BKT universality.

引用

页数：17

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