Delocalization in the 1D Anderson model with long-range correlated disorder

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 S(k) proportional to 1/k(alpha). Using a renormalization group technique, we show that for long-range correlated energy sequences with persistent increments (alpha > 2) the Lyapunov coefficient (inverse localization length) vanishes within a finite range of energy values revealing the presence of an Anderson-like metal-insulator transition. [S0031-9007(98)07502-4].