COMPARISON BETWEEN CONTINUED-FRACTION AND COMPUTER-SIMULATION METHODS APPLIED TO A CLASSICAL HEISENBERG CHAIN

被引：19

作者：

DERAEDT, H ^{[1
]}

机构：

[1] BROOKHAVEN NATL LAB,UPTON,NY 11973

来源：

PHYSICAL REVIEW B | 1979年 / 19卷 / 05期

关键词：

D O I：

10.1103/PhysRevB.19.2585

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A detailed comparison between the simulation data of Heller and Blume, and various continued-fraction expansions, is presented. It is shown that the three-pole expansion is qualitatively wrong while four- and six-pole expansions are in good agreement with the simulation data. A possibility of using continued-fraction representations to interpret simulation results is discussed. The convergence of the various approximations in the frequency domain is investigated. © 1979 The American Physical Society.

引用

收藏

页码：2585 / 2594

页数：10

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共 20 条

[11] SPIN DYNAMICS OF LINEAR HEISENBERG MAGNETIC CHAINS [J].

MCLEAN, FB ;

BLUME, M .

PHYSICAL REVIEW B, 1973, 7 (03) :1149-1179

[12] ABSENCE OF FERROMAGNETISM OR ANTIFERROMAGNETISM IN ONE- OR 2-DIMENSIONAL ISOTROPIC HEISENBERG MODELS [J].

MERMIN, ND ;

WAGNER, H .

PHYSICAL REVIEW LETTERS, 1966, 17 (22) :1133-&

[13] A CONTINUED-FRACTION REPRESENTATION OF TIME-CORRELATION FUNCTIONS [J].

MORI, H .

PROGRESS OF THEORETICAL PHYSICS, 1965, 34 (03) :399-+

[14] METHOD OF MOMENTS APPLIED TO DILUTED FERROMAGNET [J].

NICKEL, BG .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (09) :1719-1734

[15] MOLECULAR-DYNAMICS STUDY OF CLASSICAL ISING-MODEL IN A TRANSVERSE FIELD [J].

PRELOVSEK, P ;

SEGA, I .

PHYSICAL REVIEW B, 1978, 17 (11) :4416-4425

[16] EXACT RESULTS FOR DYNAMICS OF CLASSICAL NEAREST-NEIGHBOR HEISENBERG CHAIN NEAR T=O [J].

REITER, G ;

SJOLANDER, A .

PHYSICAL REVIEW LETTERS, 1977, 39 (17) :1047-1050

[17] NEUTRON-SCATTERING STUDIES OF LOW DIMENSIONAL MAGNETIC SYSTEMS [J].

SHIRANE, G ;

BIRGENEAU, RJ .

PHYSICA B & C, 1977, 86 (JAN-M) :639-646

[18] THEORETICAL AND EXPERIMENTAL STUDIES ON ONE-DIMENSIONAL MAGNETIC SYSTEMS [J].

STEINER, M ;

VILLAIN, J ;

WINDSOR, CG .

ADVANCES IN PHYSICS, 1976, 25 (02) :87-209

[19] SPIN-WAVE MODES IN A HEISENBERG LINEAR CHAIN OF CLASSICAL SPINS [J].

TOMITA, H ;

MASHIYAMA, H .

PROGRESS OF THEORETICAL PHYSICS, 1972, 48 (04) :1133-+

[20] PHYSICAL REPRESENTATION OF SPECTRAL-LINE SHAPE BASED ON MOMENTS [J].

TOMITA, K ;

MASHIYAMA, H .

PROGRESS OF THEORETICAL PHYSICS, 1974, 51 (05) :1312-1331