Correlation function behavior in the topological Kosterlitz-Thouless transition using the Replica-Exchange Wang-Landau technique

被引:0
|
作者
Figueiredo, T. P. [1 ]
Costa, B., V [2 ,3 ]
机构
[1] Univ Estadual Montes Claros, Dept Ciencias Exatas, Montes Claros, MG, Brazil
[2] ICEx Univ Fed Minas Gerais, Dept Fis, Lab Simulacao, BR-31720901 Belo Horizonte, MG, Brazil
[3] Univ Fed Ouro Preto, Dept Fis, ICEB, BR-35400000 Ouro Preto, MG, Brazil
来源
关键词
Correlation function; BKT transition; finite-size-scalling; ANISOTROPIC HEISENBERG-MODEL; PHASE-TRANSITIONS; UNIVERSAL JUMP; VORTICES; DENSITY; SUPERFLUIDITY; DYNAMICS; ORDER;
D O I
10.1142/S0217979219503612
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, we use the Replica-Exchange Wang-Landau (REWL) technique to study the behavior of the two-point correlation function of the site diluted classical anisotropic Heisenberg (AH) model in two dimensions. The model has a topological Berezinskii- Kosterlitz-Thouless (BKT) transition for any dilution down to the percolation threshold, rho(th) approximate to 0.59275. Contrary to earlier results that predict the exponent of the correlation function, eta, to decay linearly to zero as a function of temperature, we found that it decreases with temperature to a finite value eta(0) at T -> 0 for any dilution rho(th) <= rho <= 1.
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页数:11
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