Anomalous optical absorption in a random system with scale-free disorder

Abstract

We report on an anomalous behavior of the absorption spectrum in a one-dimensional lattice with long-range-correlated diagonal disorder with a power-like spectrum in the form S(k) ~ 1/k^A. These type of correlations give rise to a phase of extended states at the band center, provided A is larger than a critical value A_c. We show that for A < A_c the absorption spectrum is single-peaked, while an additional peak arises when A > A_c, signalling the occurrence of the Anderson transition. The peak is located slightly below the low-energy mobility edge, providing a unique spectroscopic tool to monitor the latter. We present qualitative arguments explaining this anomaly.

4 pages, 4 postscript figures, uses revtex4

References in corpus (4)

• Bloch-like oscillations in a one-dimensional lattice with long-range correlated disorder
• Localization of Electronic States in Chain Model Based on Real DNA Sequence
• New class of level statistics in correlated disordered chains
• Effects of Scale-Free Disorder on the Anderson Metal-Insulator Transition

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• Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements
• Bound states in one-dimensional systems with colored noise
• Localization in One-Dimensional Tight-Binding Model with Chaotic Binary Sequences
• Delocalization in One-Dimensional Tight-Binding Models with Fractal Disorder II: Existence of Mobility Edge