Abstract
We study the nature of electronic states in a tight-binding one-dimensional model with the on-site energies exhibiting long-range correlated disorder and nonrandom hopping amplitudes. The site energies describe the trace of a fractional Brownian motion with a specified spectral density . Using a renormalization group technique, we show that for long-range correlated energy sequences with persistent increments ( ) the Lyapunov coefficient (inverse localization length) vanishes within a finite range of energy values revealing the presence of an Anderson-like metal-insulator transition.
- Received 2 April 1998
DOI:https://doi.org/10.1103/PhysRevLett.81.3735
©1998 American Physical Society