Spinon excitations in the XX chain: spectra, transition rates, observability

Details Spinon excitations in the XX chain: spectra, transition rates, observability Spinon excitations in the XX chain: spectra, transition rates, observability

2006-05-12

arxiv.org/abs/cond-mat/0605345v1

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages, 10 figures

Scientific paper

10.1088/0305-4470/39/34/002

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.

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