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Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field

N. Kitanine·J. M. Maillet·N. A. Slavnov·V. Terras
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Abstract

Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, we compute compact representations of the spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field. At lattice distance m, they are typically given as the sum of m terms. Each term n of this sum, n = 1,...,m is represented in the thermodynamic limit as a multiple integral of order 2n+1; the integrand depends on the distance as the power m of some simple function. The root of these results is the derivation of a compact formula for the multiple action on a general quantum state of the chain of transfer matrix operators for arbitrary values of their spectral parameters.

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N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras. 2002-01-08. Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field. https://doi.org/10.1016/s0550-3213(02)00583-7

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