Abstract : We compute the momentum- and frequency-dependent longitudinal spin structure factor for the one-dimensional spin-1/2 $XXZ$ Heisenberg spin chain in a magnetic field, using exact determinant representations for form factors on the lattice. Multiparticle contributions are computed numerically throughout the Brillouin zone, yielding saturation of the sum rule to high precision.
J. -S. Caux, Jean Michel Maillet. Computation of dynamical correlation functions of Heisenberg chains in a field. Physical Review Letters, American Physical Society, 2005, 95 (077201), pp.077201. ⟨10.1103/PhysRevLett.95.077201⟩. ⟨ensl-00266558⟩