High-precision monte carlo study of the 3D XY-universality class

被引:104
作者
Hasenbusch, M [1 ]
Török, T [1 ]
机构
[1] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 36期
关键词
D O I
10.1088/0305-4470/32/36/301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a Monte Carlo study of the two-component phi(4) model on the simple cubic lattice in three dimensions. By suitable tuning of the coupling constant, lambda, we eliminate leading order corrections to sealing. High-statistics simulations using finite-size scaling techniques yield nu = 0.6723(3) [8] and eta = 0.0381(2)[2], where the statistical and systematical errors are given in the first and second bracket, respectively. These results are more precise than any previous theoretical estimate of the critical exponents for the 3D XP universality class.
引用
收藏
页码:6361 / 6371
页数:11
相关论文
共 29 条
[1]   Test for random number generators: Schwinger-Dyson equations for the Ising model [J].
Ballesteros, HG ;
Martin-Mayor, V .
PHYSICAL REVIEW E, 1998, 58 (05) :6787-6791
[2]   Finite size effects on measures of critical exponents in d=3 O(N) models [J].
Ballesteros, HG ;
Fernandez, LA ;
MartinMayor, V ;
Sudupe, AM .
PHYSICS LETTERS B, 1996, 387 (01) :125-131
[3]   Finite Size Scaling and "perfect" actions:: the three dimensional Ising model [J].
Ballesteros, HG ;
Fernández, LA ;
Martin-Mayor, V ;
Sudupe, AM .
PHYSICS LETTERS B, 1998, 441 (1-4) :330-338
[4]  
BALLESTEROS HG, 1998, CONDMAT9806059
[5]  
BALLESTEROS HG, 1998, HEPLAT9805022
[6]  
BOTTLOB AP, 1994, COND9406092
[7]   EMBEDDED DYNAMICS FOR PHI-4 THEORY [J].
BROWER, RC ;
TAMAYO, P .
PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1087-1090
[8]   N-vector spin models on the simple-cubic and the body-centered-cubic lattices: A study of the critical behavior of the susceptibility and of the correlation length by high-temperature series extended to order beta(21) [J].
Butera, P ;
Comi, M .
PHYSICAL REVIEW B, 1997, 56 (13) :8212-8240
[9]  
BUTERA P, 1997, HEPLAT9703018
[10]   2ND SOUND VERY NEAR T(LAMBDA) [J].
GOLDNER, LS ;
MULDERS, N ;
AHLERS, G .
JOURNAL OF LOW TEMPERATURE PHYSICS, 1993, 93 (1-2) :131-182