Neel temperature and magnetic phase boundary of the spin-1/2 Heisenberg antiferromagnet in three dimensions

被引:19
作者
Pan, KK [1 ]
机构
[1] Chang Gung Univ, Ctr Gen Educ, Phys Grp, Tao Yuan, Taiwan
来源
PHYSICAL REVIEW B | 1999年 / 59卷 / 02期
关键词
D O I
10.1103/PhysRevB.59.1168
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We obtained the eighth-order linked-cluster series for the free energy, the sublattice magnetization, and the staggered susceptibility of the spin-1/2 Heisenberg antiferromagnet on three-dimensional bipartite lattices. The series are analyzed using the standard extrapolation techniques with the application of a conformal transformation method to obtain the Neel temperature and the temperature dependence of sublattice magnetization. We obtain a more accurate estimate of the Neel temperature and the magnetic phase boundary for the body-centered cubic and the simple cubic lattices. The results are compared with related works. [S0163-1829(99)09601-0].
引用
收藏
页码:1168 / 1175
页数:8
相关论文
共 23 条
[1]  
Abrikosov A. A., 1965, QUANTUM FIELD THEORE, V2nd
[2]   AN APPROXIMATE QUANTUM THEORY OF THE ANTIFERROMAGNETIC GROUND STATE [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1952, 86 (05) :694-701
[3]   HIGH-TEMPERATURE EXPANSIONS FOR SPIN-1/2 HEISENBERG MODEL [J].
BAKER, GA ;
GILBERT, HE ;
EVE, J ;
RUSHBROOKE, GS .
PHYSICAL REVIEW, 1967, 164 (02) :800-+
[4]   PHASE TRANSITIONS IN 2-DIMENSIONAL SPIN SYSTEMS [J].
BETTS, DD ;
ELLIOTT, CJ ;
DITZIAN, RV .
CANADIAN JOURNAL OF PHYSICS, 1971, 49 (10) :1327-&
[5]   THERMODYNAMIC PROPERTIES OF A HEISENBERG ANTIFERROMAGNET [J].
COTTAM, MG ;
STINCHCOMBE, RB .
JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS, 1970, 3 (11) :2283-+
[6]  
Gaunt D. S., 1974, PHASE TRANSITIONS CR, V3
[7]   LOW TEMPERATURE CRITICAL EXPONENTS FROM HIGH-TEMPERATURE SERIES - ISING MODEL [J].
GAUNT, DS ;
BAKER, GA .
PHYSICAL REVIEW B-SOLID STATE, 1970, 1 (03) :1184-&
[8]   HIGH-TEMPERATURE CRITICAL INDICES FOR CLASSICAL ANISOTROPIC HEISENBERG MODEL [J].
JASNOW, D ;
WORTIS, M .
PHYSICAL REVIEW, 1968, 176 (02) :739-+
[9]   SPIN-1/2 HEISENBERG FERROMAGNET ON CUBIC LATTICES - ANALYSIS OF CRITICAL PROPERTIES BY A TRANSFORMATION METHOD [J].
LEE, MH ;
STANLEY, HE .
PHYSICAL REVIEW B-SOLID STATE, 1971, 4 (05) :1613-+
[10]   Analytical study of the thermodynamic behavior of an antiferromagnetic Heisenberg model [J].
Li, H ;
Chen, TL .
PHYSICAL REVIEW B, 1995, 52 (22) :15979-15982