ENERGY-GAP OF THE S=1 ANTIFERROMAGNETIC HEISENBERG CHAIN

被引:93
作者
SAKAI, T
TAKAHASHI, M
机构
[1] Institute for Solid State Physics, University of Tokyo, Roppongi, Minato-ku
来源
PHYSICAL REVIEW B | 1990年 / 42卷 / 01期
关键词
D O I
10.1103/PhysRevB.42.1090
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The S=1 isotropic antiferromagnetic Heisenberg chain is studied by exact diagonalizations using the Lanczös algorithm. Energy gaps, structure factors at k, and staggered susceptibilities at T=0 are calculated for finite rings up to N=16, and extrapolated to an infinite system using Shanks transformation. The estimated energy gap is 0.411 0.001, which agrees with the result of Monte Carlo calculations by Nightingale and Blöte. Further, it is found that a finite-size correction decays exponentially and the decay constant corresponds with the correlation length, which is about 5. © 1990 The American Physical Society.
引用
收藏
页码:1090 / 1092
页数:3
相关论文
共 18 条
[1]   VALENCE BOND GROUND-STATES IN ISOTROPIC QUANTUM ANTIFERROMAGNETS [J].
AFFLECK, I ;
KENNEDY, T ;
LIEB, EH ;
TASAKI, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (03) :477-528
[2]   HIGH-FIELD MAGNETIZATION OF A QUASI-ONE-DIMENSIONAL S=1 ANTIFERROMAGNET NI(C2H8N2)2NO2(CLO4) - OBSERVATION OF THE HALDANE GAP [J].
AJIRO, Y ;
GOTO, T ;
KIKUCHI, H ;
SAKAKIBARA, T ;
INAMI, T .
PHYSICAL REVIEW LETTERS, 1989, 63 (13) :1424-1427
[3]  
[Anonymous], 1955, J MATH PHYS, DOI [DOI 10.1080/00207167308803075, DOI 10.1002/SAPM19553411]
[4]   EXTRAPOLATION OF SEQUENCES USING A GENERALIZED EPSILON-ALGORITHM [J].
BARBER, MN ;
HAMER, CJ .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1982, 23 (JAN) :229-240
[6]   VARIATIONAL APPROACH TO THE XXZ SPIN-1 LINEAR-CHAIN - ELEMENTARY EXCITATIONS AND HALDANE CONJECTURE [J].
GOMEZSANTOS, G .
PHYSICAL REVIEW LETTERS, 1989, 63 (07) :790-793
[9]   MAGNETIZATION PROCESS OF AN S=1 LINEAR-CHAIN HEISENBERG-ANTIFERROMAGNET [J].
KATSUMATA, K ;
HORI, H ;
TAKEUCHI, T ;
DATE, M ;
YAMAGISHI, A ;
RENARD, JP .
PHYSICAL REVIEW LETTERS, 1989, 63 (01) :86-88
[10]   CRITICAL PROPERTIES OF S=1 XXZ CHAIN [J].
KUBO, K ;
TAKADA, S .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1986, 55 (02) :438-441