We consider parallelization strategies for the two most frequently used algorithms in numerical investigations of the Anderson model of localization, a paradigmatic model of disordered quantum systems. After a brief review of the physics of Anderson localization, we discuss the application of the Cullum-Willoughby implementation of the Lanczos diagonalization scheme and the transfer-matrix method to massively parallel cluster architectures. (C) 2002 Elsevier Science B.V. All rights reserved.
机构:
Univ Rouen, Lab Math Raphael Salem, UMR CNRS 6085, F-76801 St Etienne, FranceUniv Rouen, Lab Math Raphael Salem, UMR CNRS 6085, F-76801 St Etienne, France
Disertori, M.
Spencer, T.
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机构:
Inst Adv Study, Princeton, NJ 08540 USAUniv Rouen, Lab Math Raphael Salem, UMR CNRS 6085, F-76801 St Etienne, France