Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain

Details Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain

2004-02-25

arxiv.org/abs/cond-mat/0402625v1

J.Phys.A37:5097-5123,2004

Physics

Condensed Matter

Statistical Mechanics

34 pages

Scientific paper

10.1088/0305-4470/37/19/001

The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1<\Delta \leq 1 and 1<\Delta. In particular, adjacent four-point correlation functions were given as certain four-dimensional integrals. We show that these integrals can be reduced to polynomials with respect to specific one-dimensional integrals. The results give the polynomial representation of the third-neighbor correlation functions.

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