Predictions for neutron scattering and photoemission experiments on ${\mathrm{CuGeO}}_3$

Applying numerical techniques to a model recently proposed for the one-dimensional spin-Peierls compound ${\mathrm{CuGeO}}_3$, we calculate dynamical properties that can be directly compared with inelastic-neutron-scattering data and angle-resolved photoemission (ARPES) experiments. The momentum and energy dependence of the dynamical structure factor S(q,ω) are discussed, as well as the static structure factor S(q). The latter is shown to be specially useful to estimate the strength of the spin interaction beyond nearest neighbors. The spectral function A(q,ω) calculated from the one-particle Green’s function at half-filling is shown at several values of the hole-hopping amplitude t. The results have some unique features characteristic of one-dimensional systems including small weight near the Fermi energy. The presence of ‘‘shadow bands’’ induced by short distance antiferromagnetic correlations is predicted to appear in ARPES experiments for ${\mathrm{CuGeO}}_3$ and also for ${\mathrm{Sr}}_2$${\mathrm{CuO}}_3$.