1999/11/03 by L. Tessieri, F. M. Izrailev, F.M. Izrailev · 1 citation
Physics and Astronomy · #Amplitude #Diagonal #Extension (predicate logic) #Matrix (chemical analysis) #Quantum and electron transport phenomena #Quantum many-body systems #Random matrix #Square (algebra) #Topological Materials and Phenomena #Uncorrelated #cond-mat.dis-nn
paper · pdf · doi:10.1016/s1386-9477(00)00237-x
published as Physica E, 9, p.405 (2001) · 11 pages, 7 EPS figures; submitted to "Physica E"
arxiv created 1999/11/03 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study localization properties of electronic states in one-dimensional lattices with nearest-neighbour interaction. Both the site energies and the hopping amplitudes are supposed to be of arbitrary form. A few cases are considered in details. We discuss first the case in which both the diagonal potential and the fluctuating part of the hopping amplitudes are small. In this case we derive a general analytical expression for the localization length, which depends on the pair correlators of the diagonal and off-diagonal matrix elements. The second case we investigate is that of strong uncorrelated disorder, for which approximate analytical estimates are given and compared with numerical data. Finally, we study the model with short-range correlations which constitutes an extension with off-diagonal disorder of the random dimer model.