DENSITY-MATRIX RENORMALIZATION-GROUP STUDY OF THE CORRELATION-FUNCTION OF THE BILINEAR-BIQUADRATIC SPIN-1 CHAIN

被引:52
作者
BURSILL, RJ [1 ]
XIANG, T [1 ]
GEHRING, GA [1 ]
机构
[1] UNIV CAMBRIDGE,INTERDISCIPLINARY RES CTR SUPERCONDUCT,CAMBRIDGE CB3 0HE,ENGLAND
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 08期
关键词
D O I
10.1088/0305-4470/28/8/005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using the recently developed density matrix renormalization group approach, we study the correlation function of the spin-1 chain with quadratic and biquadratic interactions. This allows us to define and calculate the periodicity of the ground state which differs markedly from that in the classical analogue. Combining our results with other studies, we predict three phases in the region where the quadratic and biquadratic terms are both positive.
引用
收藏
页码:2109 / 2119
页数:11
相关论文
共 26 条
[1]   RIGOROUS RESULTS ON VALENCE-BOND GROUND-STATES IN ANTIFERROMAGNETS [J].
AFFLECK, I ;
KENNEDY, T ;
LIEB, EH ;
TASAKI, H .
PHYSICAL REVIEW LETTERS, 1987, 59 (07) :799-802
[2]   EXACT CRITICAL EXPONENTS FOR QUANTUM SPIN CHAINS, NONLINEAR SIGMA-MODELS AT THETA=PI AND THE QUANTUM HALL-EFFECT [J].
AFFLECK, I .
NUCLEAR PHYSICS B, 1986, 265 (03) :409-447
[3]   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
[4]   THE SPIN-ONE HEISENBERG-BIQUADRATIC QUANTUM SPIN CHAIN TREATED BY THE COUPLED-CLUSTER METHOD [J].
BISHOP, RF ;
PARKINSON, JB ;
YANG, X .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1993, 5 (49) :9169-9184
[5]   PERIOD TRIPLING IN THE BILINEAR-BIQUADRATIC ANTIFERROMAGNETIC S = 1 CHAIN [J].
FATH, G ;
SOLYOM, J .
PHYSICAL REVIEW B, 1991, 44 (21) :11836-11844
[6]   ISOTROPIC SPIN-1 CHAIN WITH TWISTED BOUNDARY-CONDITION [J].
FATH, G ;
SOLYOM, J .
PHYSICAL REVIEW B, 1993, 47 (02) :872-881
[7]  
Flory P.J., 1989, STAT MECH CHAIN MOL
[8]  
GEHRING GA, UNPUB
[9]   FINITE-LATTICE EXTRAPOLATIONS FOR A HALDANE-GAP ANTIFERROMAGNET [J].
GOLINELLI, O ;
JOLICOEUR, T ;
LACAZE, R .
PHYSICAL REVIEW B, 1994, 50 (05) :3037-3044