English

Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain

Strongly Correlated Electrons 2009-11-07 v1

Abstract

We use the exact determinantal representation derived by Kitanine, Maillet, and Terras for matrix elements of local spin operators between Bethe wave functions of the one-dimensional s=1/2 Heisenberg model to calculate and numerically evaluate transition rates pertaining to dynamic spin structure factors. For real solutions z_1,...,z_r of the Bethe ansatz equations, the size of the determinants is of order r x r. We present applications to the zero-temperature spin fluctuations parallel and perpendicular to an external magnetic field.

Keywords

Cite

@article{arxiv.cond-mat/0205430,
  title  = {Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain},
  author = {Daniel Biegel and Michael Karbach and Gerhard Muller},
  journal= {arXiv preprint arXiv:cond-mat/0205430},
  year   = {2009}
}

Comments

4 pages, 4 figures and LaTeX-svjour class