String correlation functions of the spin-1/2 Heisenberg XXZ chain

Details String correlation functions of the spin-1/2 Heisenberg XXZ chain String correlation functions of the spin-1/2 Heisenberg XXZ chain

2006-12-14

arxiv.org/abs/cond-mat/0612348v2

J.Phys.A40:4253-4272,2007

Physics

Condensed Matter

Statistical Mechanics

23 pages, 4 figures. An incomplete discussion on the limit to the spin-spin correlation function is corrected on page 12

Scientific paper

10.1088/1751-8113/40/16/001

We calculate certain string correlation functions, originally introduced as order parameters in integer spin chains, for the spin-1/2 XXZ Heisenberg chain at zero temperature and in the thermodynamic limit. For small distances, we obtain exact results from Bethe Ansatz and exact diagonalization, whereas in the large-distance limit, field-theoretical arguments yield an asymptotic algebraic decay. We also make contact with two-point spin-correlation functions in the asymptotic limit.

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