CORRELATION LENGTH OF THE BIQUADRATIC SPIN-1 CHAIN

被引：20
|
作者：
SORENSEN, ES
YOUNG, AP
机构：
[1] Physics Department, University of California, Santa Cruz
来源：
PHYSICAL REVIEW B | 1990年 / 42卷 / 01期
关键词：
D O I：
10.1103/PhysRevB.42.754
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We calculate the ground-state energy and correlation length of the spin-1 antiferromagnetic biquadratic chain, as well as the excitation energy of the two lowest-lying states. We use the equivalence of this model to the spin-1/2 XXZ chain for a specific anisotropy parameter. The XXZ model is solvable by the Bethe ansatz. We solve the Bethe ansatz equations numerically and obtain the correlation length from the ground-state energy of finite chains by use of a finite-size scaling ansatz. We find a surprisingly large correlation length. We also perform quantum Monte Carlo simulations which show clearly that the biquadratic chain dimerizes. © 1990 The American Physical Society.
引用
收藏
页码：754 / 759
页数：6
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