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 [1] Anderson P. W., Phys. Rev., 109 (1958) 1492.[2] Abraham E., Anderson P. W., Licciardello D. C and Ramakrishnan T. V., Phys. Rev. Lett., 42 (1979) 673.[3] Beenakker C. W. J., Rev. Mod. Phys., 69 (1997) 731.[4] Janssen M., Phys. Rep., 295 (1998) 1.[5] Flores J. C., J. Phys. Condens. Matter, 1 (1989) 8471.[6] Phillips P. and Wu H. -L., Science, 252 (1991) 1805.[7] Flores J. C. and Hilke M., J. Phys. A, 26 (1993) L1255.[8] Domínguez-Adame F., Maciá E. and Sánchez A. , Phys. Rev. B, 48 (1993) 6054.[9] Bellani V., Diez E., Hey R., Toni L., Tarricone L., Parravicini G. B., Domínguez-Adame F. and Gómez-Alcalá R. , Phys. Rev. Lett., 82 (1999) 2159.[10] de Moura F. A. B. F. and Lyra M. L., Phys. Rev. Lett., 81 (1998) 3735.[11] Kuhl U., Izrailev F. M., Krokhin A. A. and Stöckmann H. -J. , Appl. Phys. Lett., 77 (2000) 633.[12] Izrailev F. M. and Krokhin A. A., Phys. Rev. Lett., 82 (1999) 4062.[13] Carpena P., Galván P. B., Ivanov P. Ch. and Stanley H. E., Nature, 418 (2002) 955; Nature, 421 (2003) 764.[14] Yamada H., Phys. Lett. A, 332 (2004) 65; Int. J. Mod. Phys. B, 18 (2004) 1697.[15] Carpena P., Bernaola-Galván P. and Ivanov P. Ch., Phys. Rev. Lett., 93 (2004) 176804.[16] Domínguez-Adame F., Malyshev V. A., de Moura F. A. B. F. and Lyra M. L., Phys. Rev. Lett., 91 (2003) 197402.[17] Fidder H., Knoester J. and Wiersma D. W., J. Chem. Phys., 95 (1991) 7880.[18] Russ S., Havlin S. and Webman I., Philos. Mag. B, 77 (1998) 1449.[19] Ndawana M. L., Römer R. A. and Schreiber M., Europhys. Lett., 68 (2004) 678.[20] Malyshev V. A., Rodríguez A. and Dom´ınguez-Adame F., Phys. Rev. B, 60 (1999) 14140.[21] Maciá E. and Domínguez-Adame F., Electrons, Phonons and Excitons in Low-dimensional Aperiodic Systems (Editorial Complutense, Madrid) 2000. 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 3 may 2024