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

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

2003-04-22

arxiv.org/abs/cond-mat/0304475v1

J.Phys.A36:L337-L344,2003

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 figures

Scientific paper

10.1088/0305-4470/36/23/102

The correlation functions of the spin-1/2 XXZ spin chain in the ground state are expressed in the form of the multiple integrals. For -1< Delta <1, they were obtained by Jimbo and Miwa in 1996. Especially the next nearest-neighbour correlation functions are given as certain three-dimensional integrals. We shall show these integrals can be reduced to one-dimensional ones and thereby evaluate the values of the next nearest-neighbor correlation functions. We have also found that the remaining one-dimensinal integrals can be evaluated analytically, when nu = arccos(Delta)/pi is a rational number.

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