2-DIMENSIONAL XXZ MODEL ON A SQUARE LATTICE - A MONTE-CARLO SIMULATION

被引:81
作者
CUCCOLI, A
TOGNETTI, V
VAIA, R
机构
[1] UNIV FLORENCE,DIPARTIMENTO FIS,I-50125 FLORENCE,ITALY
[2] CNR,IST ELETTR QUANTIST,I-50127 FLORENCE,ITALY
[3] IST NAZL FIS MAT,UNITA FIRENZE,FLORENCE,ITALY
来源
PHYSICAL REVIEW B | 1995年 / 52卷 / 14期
关键词
D O I
10.1103/PhysRevB.52.10221
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Results of Monte Carlo simulations of the ferromagnetic classical XXZ model on a square lattice are reported for interactions of the out of plane spin components lambda varying between 0 and 0.99. For all the values of lambda the signature of a Berezinskii-Kosterlitz-Thouless (BKT) phase transition was observed, and the corresponding critical temperature was located both by BKT fits and finite-size scaling methods. Data for in-plane and out of plane susceptibility, correlation length, specific heat, and internal energy are given in abroad range of temperature and for lattice sizes ranging from 32 x 32 to 256 x 256.
引用
收藏
页码:10221 / 10231
页数:11
相关论文
共 37 条
[1]  
[Anonymous], 1983, PHASE TRANSITIONS CR
[2]  
Berezinskii V. L., 1970, Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, V59, P907
[3]   FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].
BINDER, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140
[4]   MONTE-CARLO SIMULATION OF THE 2-DIMENSIONAL PLANAR MODEL [J].
BOWEN, C ;
HUNTER, DL ;
JAN, N .
JOURNAL OF STATISTICAL PHYSICS, 1992, 69 (5-6) :1097-1113
[5]   MAGNETIZATION - A CHARACTERISTIC OF THE KOSTERLITZ-THOULESS-BEREZINSKII TRANSITION [J].
BRAMWELL, ST ;
HOLDSWORTH, PCW .
PHYSICAL REVIEW B, 1994, 49 (13) :8811-8814
[6]   OVERRELAXED HEAT-BATH AND METROPOLIS ALGORITHMS FOR ACCELERATING PURE GAUGE MONTE-CARLO CALCULATIONS [J].
BROWN, FR ;
WOCH, TJ .
PHYSICAL REVIEW LETTERS, 1987, 58 (23) :2394-2396
[7]  
COWLEY ER, DYNAMICAL PROPERTIES, V7
[8]   OVERRELAXATION AND MONTE-CARLO SIMULATION [J].
CREUTZ, M .
PHYSICAL REVIEW D, 1987, 36 (02) :515-519
[9]   QUANTUM THERMODYNAMICS OF SOLIDS BY MEANS OF AN EFFECTIVE POTENTIAL [J].
CUCCOLI, A ;
MACCHI, A ;
NEUMANN, M ;
TOGNETTI, V ;
VAIA, R .
PHYSICAL REVIEW B, 1992, 45 (05) :2088-2096
[10]   QUANTUM THERMODYNAMICS IN CLASSICAL PHASE-SPACE [J].
CUCCOLI, A ;
TOGNETTI, V ;
VERRUCCHI, P ;
VAIA, R .
PHYSICAL REVIEW A, 1992, 45 (12) :8418-8429