Delocalization to localization transition in one-dimensional systems with long-range correlated off-diagonal disorder

Abstract

The combined effects of long-range correlations and disorder strength on critical properties of electronic states in one-dimensional systems with long-range correlated off-diagonal disorder are investigated for the whole energy band. Numerical studies on the localization length demonstrate the existence of disorder-induced delocalization-to-localization transition (DLT) and energy-induced DLT in such systems when the correlations of hopping terms are strong enough to generate extended states. Further calculations confirm that the critical disorder strength and critical energy related to these DLTs are Wc=2t0−|E| and ±Ec=±|2t0−W|, respectively. Based on these critical points, the detailed phase diagrams in different parameter spaces are obtained.