Phase transitions in two-dimensional Z(N) vector models for N > 4

被引：17

作者：

Borisenko, O. ^{[1
]}

Chelnokov, V. ^{[1
]}

Cortese, G. ^{[2
,3
,4
,5
]}

Fiore, R. ^{[4
,5
]}

Gravina, M. ^{[6
]}

Papa, A. ^{[4
,5
]}

机构：

[1] Natl Acad Sci Ukraine, Bogolyubov Inst Theoret Phys, UA-03680 Kiev, Ukraine

[2] Inst Fis Teor UAM CSIC, E-28049 Madrid, Spain

[3] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

[4] Univ Calabria, Dipartimento Fis, I-87036 Cosenza, Italy

[5] Ist Nazl Fis Nucl, Grp Collegato Cosenza, I-87036 Cosenza, Italy

[6] Univ Cyprus, Dept Phys, Nicosia, Cyprus

来源：

PHYSICAL REVIEW E | 2012年 / 85卷 / 02期

关键词：

KOSTERLITZ-THOULESS TRANSITION; PRECISION MONTE-CARLO; XY-MODEL; DIMENSIONS; COULOMB GAS; SUPERFLUID DENSITY; ABELIAN SPIN; SYSTEMS;

D O I：

10.1103/PhysRevE.85.021114

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We investigate both analytically and numerically the renormalization group equations in two-dimensional (2D) Z(N) vector models. The position of the critical points of the two phase transitions for N > 4 is established and the critical index. is computed. For N = 7 and 17 the critical points are located by Monte Carlo simulations, and some of the corresponding critical indices are determined. The behavior of the helicity modulus is studied for N = 5, 7, and 17. Using these and other available Monte Carlo data we discuss the scaling of the critical points with N and some other open theoretical problems.

引用

页数：9

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Phase transitions in two-dimensional Z(N) vector models for N &gt; 4

Phase transitions in two-dimensional Z(N) vector models for N > 4