1999/09/01 by I. Kh. Zharekeshev, Isa Kh. Zharekeshev, B. Krämer +1 · 1 citation
Physics and Astronomy · #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #cond-mat.dis-nn #cond-mat.mes-hall #physics.comp-ph
paper · pdf · doi:10.1016/s0010-4655(99)00392-6
published as Computer Physics Commun. 121-122 (1999) 502 · 5 pages in pdf-format
openalex publication_date 1999/09/01 · arxiv created 2000/03/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An application of an effective numerical algorithm for solving eigenvalue problems which arise in modelling electronic properties of quantum disordered systems is considered. We study the electron states at the localization-delocalization transition induced by a random potential in the framework of the Anderson lattice model. The computation of the interior of the spectrum and corresponding wavefunctions for very sparse, hermitian matrices of sizes exceeding 106 x 106 is performed by the Lanczos-type method especially modified for investigating statistical properties of energy levels and eigenfunction amplitudes.