RT Journal Article T1 Anomalous optical absorption in a random system with scale-free disorder A1 Díaz García, Elena A1 Rodriguez, A. A1 Domínguez-Adame Acosta, Francisco A1 Malyshev, Andrey AB 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 alphaalpha(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. PB EDP Sciences SN 0295-5075 YR 2005 FD 2005-12 LK https://hdl.handle.net/20.500.14352/51251 UL https://hdl.handle.net/20.500.14352/51251 LA eng NO © EDP SciencesThe 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). NO DGI-MCyT NO CAM NO ISTC DS Docta Complutense RD 18 abr 2025