BLOCKSPIN CLUSTER ALGORITHMS FOR QUANTUM SPIN SYSTEMS

被引：32

作者：

WIESE, UJ

YING, HP

机构：

[1] Institut für Theoretische Physik, Universität Bern, CH-3012 Bern

来源：

PHYSICS LETTERS A | 1992年 / 168卷 / 02期

关键词：

D O I：

10.1016/0375-9601(92)90077-Y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Cluster algorithms are developed for simulating quantum spin systems like the one- and two-dimensional Heisenberg ferro- and anti-ferromagnets. The corresponding two- and three-dimensional classical spin models with four-spin couplings are mapped to blockspin models with two-blockspin interactions. Clusters of blockspins are updated collectively. The efficiency of the method is investigated in detail for one-dimensional spin chains. Then in most cases the new algorithms solve the problems of slowing down from which standard algorithms are suffering.

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页码：143 / 150

页数：8

相关论文

共 9 条

[1] THE 2D HEISENBERG ANTIFERROMAGNET IN HIGH-Tic SUPERCONDUCTIVITY A Review of Numerical Techniques and Results [J].

Barnes, T. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1991, 2 (02)

[2] MONTE-CARLO STUDIES OF ONE-DIMENSIONAL QUANTUM HEISENBERG AND XY MODELS [J].

CULLEN, JJ ;

LANDAU, DP .

PHYSICAL REVIEW B, 1983, 27 (01) :297-313

[3]

EVERTZ HG, 1991, FSUSCRI91183

[4] MONTE-CARLO SIMULATIONS OF ONE-DIMENSIONAL FERMION SYSTEMS [J].

HIRSCH, JE ;

SUGAR, RL ;

SCALAPINO, DJ ;

BLANKENBECLER, R .

PHYSICAL REVIEW B, 1982, 26 (09) :5033-5055

[5] 2-DIMENSIONAL SPIN-1/2 HEISENBERG-ANTIFERROMAGNET - A QUANTUM MONTE-CARLO STUDY [J].

MAKIVIC, MS ;

DING, HQ .

PHYSICAL REVIEW B, 1991, 43 (04) :3562-3574

[6] MONTE-CARLO SIMULATION OF QUANTUM SPIN SYSTEMS .1. [J].

SUZUKI, M ;

MIYASHITA, S ;

KURODA, A .

PROGRESS OF THEORETICAL PHYSICS, 1977, 58 (05) :1377-1387

[7] RELATIONSHIP BETWEEN D-DIMENSIONAL QUANTAL SPIN SYSTEMS AND (D+1)-DIMENSIONAL ISING SYSTEMS - EQUIVALENCE, CRITICAL EXPONENTS AND SYSTEMATIC APPROXIMANTS OF PARTITION-FUNCTION AND SPIN CORRELATIONS [J].

SUZUKI, M .

PROGRESS OF THEORETICAL PHYSICS, 1976, 56 (05) :1454-1469

[8] NONUNIVERSAL CRITICAL-DYNAMICS IN MONTE-CARLO SIMULATIONS [J].

SWENDSEN, RH ;

WANG, JS .

PHYSICAL REVIEW LETTERS, 1987, 58 (02) :86-88

[9] COLLECTIVE MONTE-CARLO UPDATING FOR SPIN SYSTEMS [J].

WOLFF, U .

PHYSICAL REVIEW LETTERS, 1989, 62 (04) :361-364