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arXiv · 1005.3202

On the level density of spin chains of Haldane--Shastry type

A. Enciso·F. Finkel·A. Gonzalez-Lopez
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Abstract

We provide a rigorous proof of the fact that the level density of all su(m) spin chains of Haldane-Shastry type associated with the A_{N-1} root system approaches a Gaussian distribution as the number of spins N tends to infinity. Our approach is based on the study of the large N limit of the characteristic function of the level density, using the description of the spectrum in terms of motifs and the asymptotic behavior of the dispersion relation.

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A. Enciso, F. Finkel, A. Gonzalez-Lopez. 2010-05-18. On the level density of spin chains of Haldane--Shastry type. https://doi.org/10.1103/physreve.82.051117

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