2004
DOI: 10.1088/0305-4470/37/19/001
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Abstract: The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for −1 < ∆ ≤ 1 and 1 < ∆. 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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Cited by 39 publications
(52 citation statements)
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“…In addition, their results were extended to XXZ chain both in massless and massive regime [16,17,18].…”
Section: Introductionmentioning
confidence: 98%
“…In addition, their results were extended to XXZ chain both in massless and massive regime [16,17,18].…”
Section: Introductionmentioning
confidence: 98%
“…As a result all the density matrix elements within four lattice sites have been obtained for general anisotropy [21]. To reduce the multiple integrals into one-dimension, however, involves hard calculation, which makes difficult to obtain correlation functions on more than four lattice sites.…”
Section: Introductionmentioning
confidence: 99%
“…That happens because the non-analytic behavior of the energy, which would indicate the correct 1QPT, is contained in the correlation function σ i z σ i+r z , but this is canceled by the term p z +q z in Equation (11). Thus, in some sense one could still argue that this is an accidental non-analytical behavior, but of different nature.…”
Section: Concurrence and Qptmentioning
confidence: 98%
“…In (19) we only need to sum a − c1 π s1 ζ ν . In (20) we need to go to Kato et al [11] [note that Equation (5.4) has the same typo] and use Equations (5.10), (B.11), and (B.12) to calculate and find the error in σ x i σ x i+3 .…”
Section: Spin-1 2 Xxz Modelmentioning
confidence: 99%