On the level density of spin chains of Haldane--Shastry type
Autor: | Enciso, A., Finkel, F., Gonzalez-Lopez, A. |
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Rok vydání: | 2010 |
Předmět: | |
Zdroj: | Phys. Rev. E 82 (2010) 051187 |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevE.82.051117 |
Popis: | 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. Comment: 6 pages, revtex |
Databáze: | arXiv |
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