English

The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain

Strongly Correlated Electrons 2007-05-23 v2

Abstract

The longitudinal spin structure factor for the XXZ-chain at small wave-vector q is obtained using Bethe Ansatz, field theory methods and the Density Matrix Renormalization Group. It consists of a peak with peculiar, non-Lorentzian shape and a high-frequency tail. We show that the width of the peak is proportional to q^2 for finite magnetic field compared to q^3 for zero field. For the tail we derive an analytic formula without any adjustable parameters and demonstrate that the integrability of the model directly affects the lineshape.

Keywords

Cite

@article{arxiv.cond-mat/0603681,
  title  = {The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain},
  author = {R. G. Pereira and J. Sirker and J. -S. Caux and R. Hagemans and J. M. Maillet and S. R. White and I. Affleck},
  journal= {arXiv preprint arXiv:cond-mat/0603681},
  year   = {2007}
}

Comments

4 pages, 3 figures, published version