Publication: Anomalous optical absorption in a random system with scale-free disorder
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2005-12
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EDP Sciences
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Abstract
Optical spectroscopy usually fails in detecting localization-delocalization (Anderson) transitions. We report on an anomalous behavior of the absorption spectrum in a one-dimensional lattice with long-range correlated diagonal disorder, having a power-like spectrum S(k)similar to 1/k(alpha). This type of correlations gives rise to a phase of extended states at the band center, provided alpha is larger than a critical value alpha(c). We show that for alpha<alpha(c), the absorption spectrum is single-peaked, while an additional peak arises when alpha>alpha(c), signaling 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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The authors thank A. V. Malyshev, M. L. Lyra and F. A. B. F. de Moura for helpful comments. This work was supported by DGI-MCyT (Project MAT2003-01533) and CAM (Project GR/MAT/0039/2004). V. A. M. acknowledges support from ISTC (grant #2679).
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