Fifth-neighbor spin-spin correlator for the anti-ferromagnetic Heisenberg chain

Abstract

We study the generating function of the spin-spin correlation functions in the ground state of the anti-ferromagnetic spin-1/2 Heisenberg chain without magnetic field. We have found its fundamental functional relations from those for general correlation functions, which originate in the quantum Knizhink-Zamolodchikov equation. Using these relations, we have calculated the explicit form of the generating functions up to n=6. Accordingly we could obtain the spin-spin correlator <S_j^z S_{j+k}^z> up to k=5.

arXiv comment10 pages

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Cited by in corpus (8)

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• Correlation functions of the spin-1/2 anti-ferromagnetic Heisenberg chain: exact calculation via the generating function
• Exact evaluation of density matrix elements for the Heisenberg chain
• Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at $\Delta$=1/2
• Finite temperature density matrix and two-point correlations in the antiferromagnetic XXZ chain
• Factorization of the Ising model form factors
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain