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

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

2005-01-13

arxiv.org/abs/cond-mat/0501311v1

Europhys. Lett. 72 (2005) 1018

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 postscript figures, uses revtex4

Scientific paper

10.1209/epl/i2005-10321-x

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.

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