2005/01/13 by E. Diaz, E Díaz, A. Rodriguez +5 · 21 citations
Physics and Astronomy · #Absorption (acoustics) #Absorption spectroscopy #Diagonal #Lattice (music) #Phase (matter) #Quantum and electron transport phenomena #Random lasers and scattering media #Spectrum (functional analysis) #Topological Materials and Phenomena #cond-mat.dis-nn
paper · pdf · doi:10.1209/epl/i2005-10321-x
published in Europhysics Letters (EPL) 72(6), 1018-1024 (Institute of Physics) · 4 pages, 4 postscript figures, uses revtex4
arxiv created 2005/01/13 · openalex publication_date 2005/11/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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 ) ∼ 1/ k α . This type of correlations gives rise to a phase of extended states at the band center, provided α is larger than a critical value α c . We show that for α < α c , the absorption spectrum is single-peaked, while an additional peak arises when α > α 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.