Ising antiferromagnet with nearest-neighbor and next-nearest-neighbor interactions on a square lattice

被引:0
作者
Murtazaev, A. K. [1 ]
Ramazanov, M. K. [1 ]
Badiev, M. K. [1 ]
机构
[1] Russian Acad Sci, Dagestan Sci Ctr, Inst Phys, Makhachkala 367003, Russia
来源
TRENDS IN MAGNETISM: NANOMAGNETISM | 2014年 / 215卷
关键词
frustrations; Ising model; phase transition; Monte Carlo method; MODEL;
D O I
10.4028/www.scientific.net/SSP.215.17
中图分类号
O59 [应用物理学];
学科分类号
摘要
The critical properties of two-dimensional antiferromagnetic Ising model in square lattice are investigated using the replica Monte-Carlo method with account of interactions of second nearest neighbors. The diagram of critical temperature dependence on an interaction value of second nearest neighbors is plotted. Static critical exponents of the heat capacity alpha, susceptibility gamma, magnetization beta, and correlation radius. are calculated for this model using the finite-size scaling theory.
引用
收藏
页码:17 / 21
页数:5
相关论文
共 9 条
[1]  
[Anonymous], PHYS LETT A
[2]   NON-UNIVERSALITY IN THE ISING-MODEL WITH NEAREST AND NEXT-NEAREST NEIGHBOR INTERACTIONS [J].
BARBER, MN .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (05) :679-688
[3]   Report on the theory of ferromagnetism [J].
Ising, E .
ZEITSCHRIFT FUR PHYSIK, 1925, 31 :253-258
[4]  
Landau D. P., 2000, MONTE CARLO SIMULATI
[5]   PHASE-DIAGRAMS AND CRITICAL-BEHAVIOR OF ISING SQUARE LATTICES WITH NEAREST-NEIGHBOR, NEXT-NEAREST-NEIGHBOR, AND 3RD-NEAREST-NEIGHBOR COUPLINGS [J].
LANDAU, DP ;
BINDER, K .
PHYSICAL REVIEW B, 1985, 31 (09) :5946-5953
[6]  
Morian-Liopez J. L., 1993, PHYS REV B, V48, P3519
[7]   Critical properties of an antiferromagnetic Ising model on a square lattice with interactions of the next-to-nearest neighbors [J].
Murtazaev, A. K. ;
Ramazanov, M. K. ;
Badiev, M. K. .
LOW TEMPERATURE PHYSICS, 2011, 37 (12) :1001-1005
[8]   Critical properties of the three-dimensional frustrated Heisenberg model on a layered-triangular lattice with variable interplane exchange interaction [J].
Murtazaev, Akay K. ;
Ramazanov, Magomedsheykh K. .
PHYSICAL REVIEW B, 2007, 76 (17)
[9]   RENORMALIZATION-GROUP STUDY OF THE 2-DIMENSIONAL ISING-MODEL WITH CROSSING BONDS [J].
PLASCAK, JA .
PHYSICA A, 1992, 183 (04) :563-573