Correlation functions of the integrable spin-s chain

Abstract

We study the correlation functions of su(2) invariant spin-s chains in the thermodynamic limit. We derive non-linear integral equations for an auxiliary correlation function $\omega$ for any spin s and finite temperature T. For the spin-3/2 chain for arbitrary temperature and zero magnetic field we obtain algebraic expressions for the reduced density matrix of two-sites. In the zero temperature limit, the density matrix elements are evaluated analytically and appear to be given in terms of Riemann's zeta function values of even and odd arguments.

35 pages, 1 figure

References in corpus (8)

• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Hidden Grassmann structure in the XXZ model
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
• Finite temperature correlation functions from discrete functional equations
• Thermodynamics of antiferromagnetic alternating spin chains
• Correlation functions of the integrable isotropic spin-1 chain at finite temperature
• Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature

Cited by in corpus (4)

• Exact steady states for quantum quenches in integrable Heisenberg spin chains
• Correlation functions of integrable $O(n)$ spin chains
• Current mean values in the XYZ model
• On correlation functions in models related to the Temperley-Lieb algebra