Anomalous optical absorption in a random system with scale-free disorder
E. Diaz, A. Rodriguez, F. Dominguez-Adame, V. A. Malyshev
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/kA. These type of correlations give rise to a phase of extended states at the band center, provided A is larger than a critical value Ac. We show that for A < Ac the absorption spectrum is single-peaked, while an additional peak arises when A > Ac, 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.
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