Spectral properties of supersymmetric Polychronakos spin chain associated with A_{N-1} root system
arXiv:0811.3110 · doi:10.1016/j.physleta.2009.06.003
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.
latex, 17 pages, 3 figures
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Cited by in corpus (11)
- On the level density of spin chains of Haldane--Shastry type
- Inozemtsev's hyperbolic spin model and its related spin chain
- The spin Sutherland model of D_N type and its associated spin chain
- Thermodynamics and criticality of supersymmetric spin chains with long-range interactions
- A new perspective on the integrability of Inozemtsev's elliptic spin chain
- Exact solution and thermodynamics of a spin chain with long-range elliptic interactions
- noise and integrable systems
- Matrix supergroup Chern-Simons models for vortex-antivortex systems
- Partition functions of Polychronakos like spin chains associated with polarized spin reversal operators
- Supersymmetric analogue of BC_N type rational integrable models with polarized spin reversal operators
- Rational quantum integrable systems of D_N type with polarized spin reversal operators