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- W2018335989 abstract "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 noninte- grable 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/${mathit{r}}^{2}$ model. A number of conclusions regarding the behavior and relevance of the level-spacing distribution in these spin systems is drawn." @default.
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- W2018335989 date "1993-06-01" @default.
- W2018335989 modified "2023-10-18" @default.
- W2018335989 title "Level repulsion in integrable and almost-integrable quantum spin models" @default.
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- W2018335989 doi "https://doi.org/10.1103/physrevb.47.14291" @default.
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