English

Exact solution and spectral flow for twisted Haldane-Shastry model

Condensed Matter 2009-10-28 v1 High Energy Physics - Theory

Abstract

The exact solution of the spin chain model with 1/r21/r^2 exchange is found for twisted boundary conditions. The spectrum thus obtained can be reproduced by the asymptotic Bethe ansatz. The spectral flow of each eigenstate is determined exactly as a function of the twist angle. We find that the period 4π4\pi for the ground state nicely fits in with the notion of fractional exclusion statistics.

Keywords

Cite

@article{arxiv.cond-mat/9604143,
  title  = {Exact solution and spectral flow for twisted Haldane-Shastry model},
  author = {T. Fukui and N. Kawakami},
  journal= {arXiv preprint arXiv:cond-mat/9604143},
  year   = {2009}
}

Comments

4 pages, revtex, 1 figure available on request, to appear in PRL

R2 v1 2026-07-22T11:52:56.759Z