Critical Exponents for the Metal-Insulator Transition in Disordered Systems

Angus MacKinnon
Blackett Lab., Imperial College, London SW7 2BZ

Short title: Metal-Insulator Transition

PACS number(s): 71.30.+h, 71.55Jv, 72.15Rn

Submitted to: Journal of Physics: Condensed Matter

Abstract:

The critical exponents of the metal-insulator transition in disordered systems have been the subject of much published work containing often contradictory results. Values ranging between and can be found even in the recent literature. In this paper the results of a long term study of the transition are presented. The data have been calculated with sufficient accuracy () that the calculated exponent can be quoted as with confidence. The reasons for the previous scatter of results is discussed.

• Introduction
• Transfer Matrix Calculations
  • Orthogonalisation
• Scaling Theory
  • Deviations from Scaling
  • Data Fitting
  • Statistical and Systematic Errors
• Results and Conclusions
• Acknowledgements
• References