Advanced Lanczos diagonalization for models of quantum disordered systems

Details Advanced Lanczos diagonalization for models of quantum disordered systems Advanced Lanczos diagonalization for models of quantum disordered systems

2000-02-03

arxiv.org/abs/physics/0002008v2

Computer Physics Commun. 121-122 (1999) 502

Physics

Computational Physics

5 pages in pdf-format

Scientific paper

10.1016/S0010-4655(99)00392-6

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.

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