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Advanced Lanczos diagonalization for models of quantum disordered systems | | Isa Kh. Zharekeshev
; Bernhard Kramer
; | | Date: |
3 Feb 2000 | | Journal: | Computer Physics Commun. 121-122 (1999) 502 | | Subject: | Computational Physics; Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect | physics.comp-ph cond-mat.dis-nn cond-mat.mes-hall | | Affiliation: | Univ. Hamburg | | Abstract: | 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 10^6 x 10^6 is performed by the Lanczos-type method especially modified for investigating statistical properties of energy levels and eigenfunction amplitudes. | | Source: | arXiv, physics/0002008 | | Services: | Forum | Review | PDF | Favorites | |
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