Physics – Mathematical Physics
Scientific paper
2010-05-18
Phys. Rev. E 82 (2010) 051187
Physics
Mathematical Physics
6 pages, revtex
Scientific paper
10.1103/PhysRevE.82.051117
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.
Enciso Alberto
Finkel Federico
González-López Artemio
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