Critical properties of the three-dimensional frustrated Heisenberg model on a layered-triangular lattice with variable interplane exchange interaction

被引:22
作者
Murtazaev, Akay K. [1 ]
Ramazanov, Magomedsheykh K.
机构
[1] Russian Acad Sci, Daghestan Sci Ctr, Inst Phys, Makhachkala 367003, Russia
[2] Daghestan State Univ, Makhachkala 367025, Russia
来源
PHYSICAL REVIEW B | 2007年 / 76卷 / 17期
关键词
D O I
10.1103/PhysRevB.76.174421
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The critical properties of three-dimensional (3D) frustrated Heisenberg model on a layered-triangular lattice with variable interplane exchange interaction are investigated by the replica Monte Carlo method. The static magnetic and chiral critical exponents of heat capacity alpha=0.26(3), susceptibility gamma=1.23(4), gamma(k)=0.87(5), magnetization beta=0.26(1), beta(k)=0.43(2), and correlation length nu=0.59(2), nu(k)=0.59(2), as well as the Fisher exponent eta=-0.09(3), are calculated by means of the finite-size scaling theory. Another universality class of the critical behavior is shown to be formed by the 3D frustrated Heisenberg model on a layered-triangular lattice. The universality class of the critical behavior of this model is revealed to remain within the limits of values of interplane J(') and intraplane J exchange interaction R=parallel to J(')/J parallel to=0.075-1.0.
引用
收藏
页数:6
相关论文
共 37 条
[1]   NEW CRITICAL EXPONENT-BETA OF THE XY ANTIFERROMAGNET ON STACKED TRIANGULAR LATTICE, CSMNBR3 [J].
AJIRO, Y ;
NAKASHIMA, T ;
UNNO, Y ;
KADOWAKI, H ;
MEKATA, M ;
ACHIWA, N .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1988, 57 (08) :2648-2650
[2]   FINITE-SIZE EFFECTS AT CRITICAL-POINTS WITH ANISOTROPIC CORRELATIONS - PHENOMENOLOGICAL SCALING THEORY AND MONTE-CARLO SIMULATIONS [J].
BINDER, K ;
WANG, JS .
JOURNAL OF STATISTICAL PHYSICS, 1989, 55 (1-2) :87-126
[3]   CRITICAL PROPERTIES FROM MONTE-CARLO COARSE GRAINING AND RENORMALIZATION [J].
BINDER, K .
PHYSICAL REVIEW LETTERS, 1981, 47 (09) :693-696
[4]   FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].
BINDER, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140
[5]  
Binder K., 1988, MONTE CARLO SIMULATI
[6]  
Binder K., 1979, Monte Carlo methods in statistical physics. Topics in current physics
[7]   Critical exponents and equation of state of the three-dimensional Heisenberg universality class [J].
Campostrini, M ;
Hasenbusch, M ;
Pelissetto, A ;
Rossi, P ;
Vicari, E .
PHYSICAL REVIEW B, 2002, 65 (14) :1-21
[8]   CRITICAL-BEHAVIOR IN THE SPECIFIC-HEAT OF AN ANTIFERROMAGNET WITH CHIRAL SYMMETRY [J].
DEUTSCHMANN, R ;
VONLOHNEYSEN, H ;
WOSNITZA, J ;
KREMER, RK ;
VISSER, D .
EUROPHYSICS LETTERS, 1992, 17 (07) :637-642
[9]  
Dotsenko V.S., 1995, PHYS-USP, V38, P481
[10]   BOUNDED AND INHOMOGENEOUS ISING MODELS .I. SPECIFIC-HEAT ANOMALY OF A FINITE LATTICE [J].
FERDINAN.AE ;
FISHER, ME .
PHYSICAL REVIEW, 1969, 185 (02) :832-&