• Introduction
• Interacting Quantum Many Body Systems
• Mott Insulators
• Quantum Spin Liquids
• Outline
• Background
• The Falikov Kimball Model
• The Kitaev Honeycomb Model
• Disorder & Localisation
• Chapter 3: The Long Range Falikov-Kimball Model
• The Model
• Markov Chain Monte Carlo
• The Phase Diagram
• Localisation Properties
• Discussion & Conclusion
• Acknowledgments
• []{#app:disorder_model label="app:disorder_model"} UNCORRELATED DISORDER MODEL
• Chapter 4: The Amorphous Kitaev Model
• Contributions
• Introduction
• Methods
• Results
• Conclusion
• Discussion
• Outlook
• Conclusion
• Appendices
• Markov Chain Monte Carlo
• Lattice Generation
• Lattice Colouring
• The Projector