Macroscopic and Local Magnetic Moments in Si-doped CuGeO$_3$ with   Neutron and $\mu$SR Studies
  The temperature-concentration phase diagram of the Si-doped spin-Peierls compound CuGeO$_{3}$ is investigated by means of neutron scattering and muon spin rotation spectroscopy in order to determine the microscopic distribution of the magnetic and lattice dimerised regions as a function of doping. The analysis of the zero-field muon spectra has confirmed the spatial inhomogeneity of the staggered magnetisation that characterises the antiferromagnetic superlattice peaks observed with neutrons. In addition, the variation of the macroscopic order parameter with doping can be understood by considering the evolution of the local magnetic moment as well as of the various regions contributing to the muon signal. 
F. Semadeni, A. Amato, B.Roessli, P. B\"oni, C. Baines, T. Masuda, K.   Uchinokura and G. Shirane