Localization length and fractal dimension of wave functions in one-dimensional disordered systems

We study the localization length λ and fractal dimensionality D of wave functions in disordered one-dimensional systems. We extend previous studies to consider the role of the off-diagonal disorder in the problem. Our results show that off-diagonal disorder introduces qualitatively different behaviour of λ and D from that of purely diagonal disorder. As a more realistic physical description of electronic properties in amorphous materials has to include the off-diagonal disorder as well, these features are of physical interest. © 1986 Springer-Verlag.