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

共 50 条

[41] Bootstrapping O(N) vector models in 4 < d < 6
Chester, Shai M.
Pufu, Silviu S.
Yacoby, Ran
PHYSICAL REVIEW D, 2015, 91 (08):
[42] Topological liquids and valence cluster states in two-dimensional SU(N) magnets
Hermele, Michael
Gurarie, Victor
PHYSICAL REVIEW B, 2011, 84 (17):
[43] Two-Dimensional Compressed Correlator for Fast Acquisition of BOC(m, n) Signals
Kim, Binhee
Kong, Seung-Hyun
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2014, 63 (06) : 2662 - 2672
[44] Two-dimensional Born-Infeld gauge theory: Spectrum, string picture, and large-N phase transition
Polychronakos, Alexios P.
PHYSICAL REVIEW D, 2012, 85 (10):
[45] Phase correlations and quasicondensate in a two-dimensional ultracold Fermi gas
Tempere, J.
Klimin, S. N.
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2015, 376 : 14 - 19
[46] Hexatic Phase in the Two-Dimensional Gaussian-Core Model
Prestipino, Santi
Saija, Franz
Giaquinta, Paolo V.
PHYSICAL REVIEW LETTERS, 2011, 106 (23)
[47] The phase diagram and melting scenarios of two-dimensional Hertzian spheres
Fomin, Yu. D.
Gaiduk, E. A.
Tsiok, E. N.
Ryzhov, V. N.
MOLECULAR PHYSICS, 2018, 116 (21-22) : 3258 - 3270
[48] Chern-Simons fermionization approach to two-dimensional quantum magnets: Implications for antiferromagnetic magnons and unconventional quantum phase transitions
Wang, Rui
Wang, Baigeng
Sedrakyan, Tigran A.
PHYSICAL REVIEW B, 2018, 98 (06)
[49] Topological phase transition in the two-dimensional anisotropic Heisenberg model: A study using the Replica Exchange Wang-Landau sampling
Figueiredo, T. P.
Rocha, J. C. S.
Costa, B. V.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 488 : 121 - 131
[50] Long-range Order Induced by Random Fields in Two-dimensional O(n) Models, and the Imry-Ma State
Berzin, A. A.
Morosov, A. I.
Sigov, A. S.
PHYSICS OF THE SOLID STATE, 2020, 62 (02) : 332 - 337

← 1 2 3 4 5 →

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