arXiv:1304.5512 · Journal of Statistical Mechanics Theory and Experiment
Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature
Andreas Klümper, Dominic Nawrath, Junji Suzuki
Abstract
We derive algebraic formulae for the density matrices of finite segments of the integrable s u (2) isotropic spin-1 chain in the thermodynamic limit. We give explicit results for the 2- and 3-site cases for arbitrary temperature T and zero field. In the zero-temperature limit the correlation functions are given in elementary form in terms of Riemann's zeta function at even integer arguments.