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Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
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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.
Forward citations
Cited by 2 Pith papers
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On correlation functions of the open XYZ spin 1/2 chain with boundary fields related by a constraint
Exact multiple sums and multiple integrals are derived for elementary correlation-function building blocks of the open XYZ spin-1/2 chain with one constraint on its six boundary fields.
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New approach to scalar products of Bethe vectors
Derives determinant representations for scalar products of on-shell and off-shell Bethe vectors via transfer-matrix action coefficients in algebraic Bethe ansatz models with periodic and reflecting boundaries.
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