CRITICAL PROPERTIES OF 2D DISORDERED 3-STATE ANTIFERROMAGNETIC POTTS MODEL ON TRIANGULAR LATTICE

被引:0
作者
Murtazaev, A. K. [1 ,2 ]
Babaev, A. B. [1 ,3 ]
Ataeva, G. Y. [1 ,4 ]
机构
[1] Russian Acad Sci, Inst Phys, Dagestan Sci Ctr, Makhachkala 367003, Russia
[2] Dagestan State Univ, Makhachkala 367025, Russia
[3] Dagestan State Pedag Univ, Makhachkala 367003, Russia
[4] Dagestan State Univ Natl Econ, Makhachkala 367008, Russia
来源
MOSCOW INTERNATIONAL SYMPOSIUM ON MAGNETISM (MISM 2017) | 2018年 / 185卷
关键词
PHASE-TRANSITIONS;
D O I
10.1051/epjconf/201818511001
中图分类号
O59 [应用物理学];
学科分类号
摘要
By introducing a small amount of non-magnetic impurities into an antiferromagnetic (AF) two-dimensional (2D) Potts model on a triangular lattice it is that the impurities in spin systems described by this model result in the change of a first order to a second-order phase transition. The systems with linear sizes L x L = N, L = 9-144 are considered. Investigations are performed using the standard Metropolis algorithm along with Monte-Carlo single-cluster Wolff algorithm. On the basis of the theory of finite-size scaling, critical exponents (CE) are calculated: the heat capacity a, the susceptibility y, the order parameter /3, and the CE of the correlation radius v.
引用
收藏
页数:4
相关论文
共 14 条
[1]   ROUNDING OF 1ST-ORDER PHASE-TRANSITIONS IN SYSTEMS WITH QUENCHED DISORDER [J].
AIZENMAN, M ;
WEHR, J .
PHYSICAL REVIEW LETTERS, 1989, 62 (21) :2503-2506
[2]  
[Anonymous], 2007, Dover books on physics
[3]   Monte Carlo investigation of the three-dimensional random-field three-state Potts model [J].
Eichhorn, K ;
Binder, K .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1996, 8 (28) :5209-5227
[4]   SCALING THEORY FOR FINITE-SIZE EFFECTS IN CRITICAL REGION [J].
FISHER, ME ;
BARBER, MN .
PHYSICAL REVIEW LETTERS, 1972, 28 (23) :1516-&
[5]   RANDOM-FIELD MECHANISM IN RANDOM-BOND MULTICRITICAL SYSTEMS [J].
HUI, K ;
BERKER, AN .
PHYSICAL REVIEW LETTERS, 1989, 62 (21) :2507-2510
[6]   First and second order transition in frustrated XY systems [J].
Loison, D ;
Schotte, KD .
EUROPEAN PHYSICAL JOURNAL B, 1998, 5 (03) :735-743
[7]   Tricritical point of the three-dimensional Potts model (q=4) with quenched nonmagnetic disorder [J].
Murtazaev, A. K. ;
Babaev, A. B. .
JETP LETTERS, 2014, 99 (09) :535-539
[8]   Histogram data analysis for a three-dimensional diluted ferromagnetic 3-and 4-state potts models [J].
Murtazaev, A. K. ;
Babaev, A. B. .
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2013, 116 (01) :101-104
[9]   Phase transitions in two-dimensional ferromagnetic Potts model with q=3 on a triangular lattice [J].
Murtazaev, A. K. ;
Babaev, A. B. ;
Ataeva, G. Ya. .
LOW TEMPERATURE PHYSICS, 2013, 39 (02) :147-150
[10]   Phase transitions in the two-dimensional ferro- and antiferromagnetic potts models on a triangular lattice [J].
Murtazaev, A. K. ;
Babaev, A. B. .
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2012, 115 (06) :1042-1047