Spectral properties of supersymmetric Polychronakos spin chain associated with A_{N-1} root system
Statistical Mechanics
2015-05-13 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.0811.3110,
title = {Spectral properties of supersymmetric Polychronakos spin chain associated with A_{N-1} root system},
author = {B. Basu-Mallick and Nilanjan Bondyopadhaya},
journal= {arXiv preprint arXiv:0811.3110},
year = {2015}
}
Comments
latex, 17 pages, 3 figures