• Introduction
• Interacting Quantum Many Body Systems
• Mott Insulators
• Quantum Spin Liquids
• Outline
• Background
• The Falikov Kimball Model
• The Kitaev Honeycomb Model
• Disorder and Localisation
• Chapter 3: The Long Range Falikov-Kimball Model
• The Model
• Methods
• Results
• Discussion and Conclusion
• Chapter 4: The Amorphous Kitaev Model
• The Model
• Methods
• Results
• Discussion and Conclusion
• Conclusion
• Appendices
• Markov Chain Monte Carlo
• Particle-Hole Symmetry
• Lattice Generation
• Markov Chain Monte Carlo
• Lattice Colouring
• Lattice Generation
• Lattice Colouring
• The Projector
• The Projector