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Global properties of the spectrum of the Haldane-Shastry spin chain

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Finkel Morgenstern, Federico and González López, Artemio (2005) Global properties of the spectrum of the Haldane-Shastry spin chain. Physical review B, 72 (17). ISSN 1098-0121

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Official URL: http://dx.doi.org/10.1103/PhysRevB.72.174411


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Abstract

We derive an exact expression for the partition function of the su(m) Haldane-Shastry spin chain, which we use to study the density of levels and the distribution of the spacing between consecutive levels. Our computations show that when the number of sites N is large enough, the level density is Gaussian to a very high degree of approximation. More surprisingly, we also find that the nearest-neighbor spacing distribution is not Poissonian, so that this model departs from the typical behavior for an integrable system. We show that the cumulative spacing distribution of the model can be well approximated by a simple functional law involving only three parameters.


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Additional Information:

©2005 The American Physical Society.
This work was partially supported by the Spanish DGI under Grant No. BFM2002-02646. The authors would like to thank J. Retamosa for several helpful discussions.

Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:31360
Deposited On:14 Jul 2015 15:38
Last Modified:10 Dec 2018 15:09

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