HIGH TEMPERATURE EXPANSIONS OF SPIN CORRELATION FUNCTIONS FOR ISING AND HEISENBERG FERROMAGNETS

被引:6
作者
BINDER, K
机构
[1] Atominstitut der Österreichischen Hochschulen, Vienna
来源
PHYSICA STATUS SOLIDI | 1969年 / 32卷 / 02期
关键词
D O I
10.1002/pssb.19690320243
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Linked cluster expansions are given for the static spin pair correlation functions in the case of Ising and Heisenberg interactions. Formulae valid for general values S of the spin are derived including terms of fifth order in 1/(kT). These expansions are discussed numerically in the temperature region Tc/T ≦ 1/2 for the simple cubic, the body‐centered cubic and the face‐centered cubic lattice assuming interactions between nearest neighbours only. A comparison with the usual Ornstein‐Zernike treatments shows considerable deviations due to the anisotropy of the correlations. This anisotropy can be neglected only in the immediate neighbourhood of the critical temperature Tc. Copyright © 1969 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码:891 / &
相关论文
共 27 条
[1]   APPLICATION OF PADE APPROXIMANT METHOD TO INVESTIGATION OF SOME MAGNETIC PROPERTIES OF ISING MODEL [J].
BAKER, GA .
PHYSICAL REVIEW, 1961, 124 (03) :768-&
[2]   ON HEISENBERG SPIN 1/2 FERROMAGNETIC MODELS [J].
BAKER, GA ;
GILBERT, HE ;
EVE, J ;
RUSHBROOKE, GS .
PHYSICS LETTERS, 1966, 20 (02) :146-+
[3]   NUMERICAL CALCULATIONS OF SPIN CORRELATION FUNCTIONS AND MAGNETIZATION CURVES OF FERROMAGNETS [J].
BINDER, K ;
RAUCH, H .
ZEITSCHRIFT FUR PHYSIK, 1969, 219 (03) :201-&
[4]   CALCULATION OF SPIN-CORRELATION FUNCTIONS IN A FERROMAGNET WITH A MONTE CARLO METHOD [J].
BINDER, K ;
RAUCH, H .
PHYSICS LETTERS A, 1968, A 27 (04) :247-&
[5]  
BINDER K, 1969, THESIS TH VIENNA
[6]  
BRITTIN WE, 1965, LECTURES THEORETI ED, VC7, P1
[7]   FLUCTUATIONS DAIMANTATION ET OPALESCENCE CRITIQUE [J].
DEGENNES, PG ;
VILLAIN, J .
JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS, 1960, 13 (1-2) :10-27
[8]   ON THE SUSCEPTIBILITY OF A FERROMAGNETIC ABOVE THE CURIE POINT [J].
DOMB, C ;
SYKES, MF .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 240 (1221) :214-228
[9]   EFFECT OF CHANGE OF SPIN ON CRITICAL PROPERTIES OF ISING AND HEISENBERG MODELS [J].
DOMB, C ;
SYKES, MF .
PHYSICAL REVIEW, 1962, 128 (01) :168-&
[10]   USE OF SERIES EXPANSIONS FOR ISING MODEL SUSCEPTIBILITY AND EXCLUDED VOLUME PROBLEM [J].
DOMB, C ;
SYKES, MF .
JOURNAL OF MATHEMATICAL PHYSICS, 1961, 2 (01) :63-&