Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Massive Region

Abstract

The second neighbor correlation functions of the spin-$1/2$ $XXZ$ chain in the ground state are expressed in the form of three dimensional integrals. We show that these integrals can be reduced to one-dimensional ones and thereby evaluate the values of the next nearest-neighbor correlation functions for $\Delta >1$.

arXiv comment12 pages, 1 figure

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• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain