Spinon excitations in the XX chain: spectra, transition rates, observability
Strongly Correlated Electrons
2009-11-11 v1
Abstract
The exact one-to-one mapping between (spinless) Jordan-Wigner lattice fermions and (spin-1/2) spinons is established for all eigenstates of the one-dimensional s = 1=2 XX model on a lattice with an even or odd number N of lattice sites and periodic boundary conditions. Exact product formulas for the transition rates derived via Bethe ansatz are used to calculate asymptotic expressions of the 2-spinon and 4-spinon parts (for large even N) as well as of the 1-spinon and 3-spinon parts (for large odd N) of the dynamic spin structure factors. The observability of these spectral contributions is assessed for finite and infinite N.
Keywords
Cite
@article{arxiv.cond-mat/0605345,
title = {Spinon excitations in the XX chain: spectra, transition rates, observability},
author = {Mitsuhiro Arikawa and Michael Karbach and Gerhard Muller and Klaus Wiele},
journal= {arXiv preprint arXiv:cond-mat/0605345},
year = {2009}
}
Comments
19 pages, 10 figures