Publication: Level density of spin chains of Haldane-Shastry type
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2010-11-15
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American Physical Society
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Abstract
We provide a rigorous proof of the fact that the level density of all known 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 transfer matrix.
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©2010 The American Physical Society.
This work was supported in part by the MICINN and the UCM–Banco Santander under Grants No. FIS2008-00209 and No. GR58/08-910556. The authors would also like to thank Gabriel Álvarez for some useful discussions, and the anonymous referees of a previous version of this paper for their helpful suggestions.
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