Critical Exponents for the Metal--Insulator Transition in Disordered Systems

TL;DR

This paper presents a precise measurement of the critical exponent for the metal-insulator transition in disordered systems, resolving previous contradictory results by providing high-accuracy data.

Contribution

It offers a long-term study with highly accurate data that determines the critical exponent as 1.54 ± 0.08, clarifying discrepancies in earlier research.

Findings

Critical exponent s = ν = 1.54 ± 0.08

Previous scatter in results is explained

High-precision data supports a consistent value

Abstract

Non-standard .sty file `equations.sty' now included inline. 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 $\half$ and $2$ 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 (0.2\%) that the calculated exponent can be quoted as $s=\nu=1.54 \pm 0.08$ with confidence. The reasons for the previous scatter of results is discussed.