Abstract
For the 1D-frustrated ferromagnetic J1-J2 model with inter-chain coupling added, we analyze the dynamical and static spin structure factor S(k, ω), the pitch angle ϕ of the magnetic structure, the magnetization curve of edge-shared chain cuprates, and focus on LiCuVO4=LiCuVO4 for which neither a perturbed spinon nor a spin wave approach can be applied. ϕ is found to be most sensitive to the interplay of frustration and quantum fluctuations. For LiCuVO4 the obtained J's agree with the results for a realistic 5-band extended Hubbard model and LSDA+U predictions yielding α=J2/|J1|≈0.75 in contrast to 5.5>α>1.42 suggested in the literature. The α-regime of the empirical ϕ-values in NaCu2O2 and linarite are considered, too.