Preface
Contents
List of Figures
List of Tables
List of symbols
List of abbreviations
Acknowledgements
1 Introduction
2 Theoretical and numerical methods
  2.1 Atomic models
  2.2 Anderson localisation
  2.3 Critical Phenomena
  2.4 Computational methods
3 Transfer-Matrix Method
  3.1 Introduction
  3.2 Example: 1D Anderson model
  3.3 F.C.C. Vibrations
  3.4 Testing
  3.5 Scaling Analysis
4 Multifractal Analysis
  4.1 Introduction
  4.2 The Multifractal Spectrum
  4.3 Vibrational eigenmodes
  4.4 Topologically disordered models
  4.5 Conclusions
5 Level-Spacing Statistics
  5.1 Numerical method
  5.2 Analysis without scaling
  5.3 Conclusions
6 The structure of localised eigenmodes
  6.1 Correlation functions
  6.2 Visualisation
  6.3 Highly localised states
  6.4 Characterising island states
  6.5 Separating islands
  6.6 Universality
  6.7 Conclusions
7 Conclusions and future work
  7.1 Future work
Appendix: Derivation of the Transfer Matrix for vibrations in an f.c.c. lattice
Bibliography