• Introduction
• Themes
• Chapter 1: The Long Range Falikov-Kimball Model
• Introduction
• Localisation
• Chapter 2: The Amorphous Kitaev Model
• Introduction
• Amorphous Systems
• Chapter outline
• An in-depth look at the Kitaev Model
• Commutation relations
• Properties of the Gauge Field
• Methods
• Voronisation
• Graph Representation
• Coloring the Bonds
• Results
• The Ground State
• Ground State Phase Diagram
• The Flux Gap
• Conclusion
• Discussion
• Future Work
• Fluxes and the Ground State
• Zero Temperature Phase Diagram
• Conclusion
• Discussion
• Future Work