MONTE-CARLO SIMULATIONS ON ISING DIPOLES - FINITE SIZE SCALING AND LOGARITHMIC CORRECTIONS

被引：13

作者：

XU, HJ ^{[1
]}

BERGERSEN, B ^{[1
]}

RACZ, Z ^{[1
]}

机构：

[1] CLARKSON UNIV,DEPT PHYS,POTSDAM,NY 13676

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 1992年 / 4卷 / 08期

关键词：

D O I：

10.1088/0953-8984/4/8/017

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Monte Carlo simulations are presented for Ising dipoles on body centred cubic and tetragonal lattices. A finite size scaling form that includes logarithmic corrections is proposed and found to significantly improve the data collapse. With lattice parameters appropriate to LiHoF4 We obtain a ferromagnetic transition temperature T(c) = 1.51 K in good agreement with experiment.

引用

收藏

页码：2035 / 2042

页数：8

相关论文

共 25 条

[1] CRITICAL BEHAVIOR OF MAGNETS WITH DIPOLAR INTERACTIONS .5. UNIAXIAL MAGNETS IN D-DIMENSIONS [J].

AHARONY, A .

PHYSICAL REVIEW B, 1973, 8 (07) :3363-3370

[2] EXISTENCE OF A CRITICAL LINE IN FERROMAGNETIC TO PARAMAGNETIC TRANSITIONS [J].

ARROTT, A .

PHYSICAL REVIEW LETTERS, 1968, 20 (19) :1029-&

[3] CRITICAL BEHAVIOR OF THE MAGNETIC-SUSCEPTIBILITY OF THE UNIAXIAL FERROMAGNET LIHOF4 [J].

BEAUVILLAIN, P ;

RENARD, JP ;

LAURSEN, I ;

WALKER, PJ .

PHYSICAL REVIEW B, 1978, 18 (07) :3360-3368

[4]

BINDER K, 1990, PRIVMAN, P174

[5] SIZE SCALING FOR INFINITELY COORDINATED SYSTEMS [J].

BOTET, R ;

JULLIEN, R ;

PFEUTY, P .

PHYSICAL REVIEW LETTERS, 1982, 49 (07) :478-481

[6] AN INVESTIGATION OF FINITE SIZE SCALING [J].

BREZIN, E .

JOURNAL DE PHYSIQUE, 1982, 43 (01) :15-22

[7] FINITE SIZE EFFECTS IN PHASE-TRANSITIONS [J].

BREZIN, E ;

ZINNJUSTIN, J .

NUCLEAR PHYSICS B, 1985, 257 (06) :867-893

[8] OPTIMIZED MONTE-CARLO DATA-ANALYSIS [J].

FERRENBERG, AM ;

SWENDSEN, RH .

PHYSICAL REVIEW LETTERS, 1989, 63 (12) :1195-1198

[9] CRITICAL-BEHAVIOR OF THE SPONTANEOUS MAGNETIZATION AT MARGINAL DIMENSIONALITY IN LIHOF4 [J].

GRIFFIN, JA ;

HUSTER, M ;

FOLWEILER, RJ .

PHYSICAL REVIEW B, 1980, 22 (09) :4370-4378

[10] FREE ENERGY OF INTERACTING MAGNETIC DIPOLES [J].

GRIFFITHS, RB .

PHYSICAL REVIEW, 1968, 176 (02) :655-+