title: Level density of spin chains of Haldane-Shastry type.
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.
authors.affiliation: Departamento de Física Teórica II, Universidad Complutense, 28040 Madrid, Spain. aenciso@fis.ucm.es
authors.forename: Alberto
authors.initials: A
authors.lastname: Enciso
authors.forename: Federico
authors.initials: F
authors.lastname: Finkel
authors.forename: Artemio
authors.initials: A
authors.lastname: González-López