Spectral properties of supersymmetric Polychronakos spin chain associated with A_{N-1} root system

Details Spectral properties of supersymmetric Polychronakos spin chain associated with A_{N-1} root system Spectral properties of supersymmetric Polychronakos spin chain associated with A_{N-1} root system

2008-11-19

arxiv.org/abs/0811.3110v1

Physics

Condensed Matter

Statistical Mechanics

latex, 17 pages, 3 figures

Scientific paper

By using the exact partition function of su(m|n) Polychronakos spin chain associated with A_{N-1} root system, we study some statistical properties of the related spectrum. It is found that the corresponding energy level density satisfies the Gaussian distribution and the cumulative distribution of spacing between consecutive energy levels obeys a certain `square root of a logarithm' law.

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