Exact ground states of spin-2 chains

被引:16
作者
Ahrens, MA [1 ]
Schadschneider, A [1 ]
Zittartz, J [1 ]
机构
[1] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany
来源
EUROPHYSICS LETTERS | 2002年 / 59卷 / 06期
关键词
D O I
10.1209/epl/i2002-00126-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We use the matrix product approach to construct all optimum ground states of general anisotropic spin-2 chains with nearest-neighbour interactions and common symmetries. These states are exact ground states of the model and their properties depend on up to three parameters. We find three different antiferromagnetic Haldane phases, one weak antiferromagnetic and one weak ferromagnetic phase. The antiferromagnetic phases can be described as spin liquids with exponentially decaying correlation functions. The variety of phases found with the matrix product ansatz also gives insight into the behaviour of spin chains with arbitrary higher spins.
引用
收藏
页码:889 / 895
页数:7
相关论文
共 17 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]  
AHRENS MA, UNPUB
[3]  
AHRENS MA, 2001, THESIS U KOLN
[4]   Metal theory [J].
Bethe, H. .
ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226
[5]   EXACT GROUND-STATES OF GENERALIZED HUBBARD MODELS [J].
DEBOER, J ;
SCHADSCHNEIDER, A .
PHYSICAL REVIEW LETTERS, 1995, 75 (23) :4298-4301
[6]   EXACT SOLUTION OF A 1D ASYMMETRIC EXCLUSION MODEL USING A MATRIX FORMULATION [J].
DERRIDA, B ;
EVANS, MR ;
HAKIM, V ;
PASQUIER, V .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (07) :1493-1517
[7]   Experimental evidence of a haldane gap in an S=2 quasi-linear-chain antiferromagnet [J].
Granroth, GE ;
Meisel, MW ;
Chaparala, M ;
Jolicoeur, T ;
Ward, BH ;
Talham, DR .
PHYSICAL REVIEW LETTERS, 1996, 77 (08) :1616-1619
[10]   MATRIX PRODUCT GROUND-STATES FOR ONE-DIMENSIONAL SPIN-1 QUANTUM ANTIFERROMAGNETS [J].
KLUMPER, A ;
SCHADSCHNEIDER, A ;
ZITTARTZ, J .
EUROPHYSICS LETTERS, 1993, 24 (04) :293-297