LEVEL REPULSION IN INTEGRABLE AND ALMOST-INTEGRABLE QUANTUM SPIN MODELS

被引:88
作者
HSU, TC [1 ]
DAURIAC, JCA [1 ]
机构
[1] CTR RECH TRES BASSES TEMP, F-38042 GRENOBLE, FRANCE
关键词
D O I
10.1103/PhysRevB.47.14291
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The repartition of the separation between energy levels of various isotropic S = 1/2 antiferromagnetic chains is studied numerically with the aim of investigating the transition from integrable to nonintegrable systems. We begin by displaying the level separation distribution of the integrable Bethe chain. Then two nonintegrable systems, two coupled chains, and a next-nearest-neighbor coupled chain, are studied as a function of the coupling. We examine how the level spacing evolves from the Poisson distribution to the Gaussian-orthogonal-ensemble distribution. Finally we consider the Haldane-Shastry 1/r2 model. A number of conclusions regarding the behavior and relevance of the level-spacing distribution in these spin systems is drawn.
引用
收藏
页码:14291 / 14296
页数:6
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