%0 Journal Article %A Enciso, Alberto %A Finkel Morgenstern, Federico %A González López, Artemio %T Level density of spin chains of Haldane-Shastry type %D 2010 %@ 1539-3755 %U https://hdl.handle.net/20.500.14352/44673 %X 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. %~