English

The large-spin asymptotics of the ferromagnetic XXZ chain

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We present new results and give a concise review of recent previous results on the asymptotics for large spin of the low-lying spectrum of the ferromagnetic XXZ Heisenberg chain with kink boundary conditions. Our main interest is to gain detailed information on the interface ground states of this model and the low-lying excitations above them. The new and most detailed results are obtained using a rigorous version of bosonization, which can be interpreted as a quantum central limit theorem.

Keywords

Cite

@article{arxiv.math-ph/0307051,
  title  = {The large-spin asymptotics of the ferromagnetic XXZ chain},
  author = {Tom Michoel and Bruno Nachtergaele},
  journal= {arXiv preprint arXiv:math-ph/0307051},
  year   = {2007}
}

Comments

30 pages, submitted to the proceedings of the workshop "Low-energy states in quantum many-body systems", 29 January 2003, Cergy-Pontoise