Self-Organized Networks and Lattice Effects in High Temperature   Superconductors III: Dopant Internal Structure
  The self-organized dopant percolative filamentary model, entirely orbital in character (no fictive spins), predicted the existence and even the ~ 3 nm diameters of gap nanodomains (discovered by STM) that amazed almost all theorists in this field. Here it explores the self-consistent and self-limiting coupling between dopant sites and gap character. It explains precursive magnetic effects and shows that they are caused by dopant ordering into loops at an onset temperature of order 2Tc. The ordered coupling of these loops by filamentary connectors is reflected by Debye-Waller factors, and it apparently leads to HTSC. The model also resolves the mystery of the vanishing isotope effect, and it explains the origin of the high-energy "waterfall" recently discovered by ARPES, as well as some overlooked infrared anomalies. 
J. C. Phillips