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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 1 (1998) pp 29-38
The two-dimensional Anderson model of localization with random hopping
A. Eilmes (1), R.A. Römer (2) (a), M. Schreiber (2)
(1) Department of Computational Methods in Chemistry, Jagiellonian University, 30-060 Kraków, Poland
(2) Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany
Received: 24 June 1997 / Revised: 15 August 1997 / Accepted: 10 October 1997
Abstract: We examine the localization properties of the 2D Anderson Hamiltonian with off-diagonal disorder. Investigating the behavior of the participation numbers of eigenstates as well as studying their multifractal properties, we find states in the center of the band which show critical behavior up to the system size $N= 200 \times 200 $ considered. This result is confirmed by an independent analysis of the localization lengths in quasi-1D strips with the help of the transfer-matrix method. Adding a very small additional onsite potential disorder, the critical states become localized.
PACS. 72.15.Rn Quantum localization - 71.30.+h Metal-insulator transitions and other electronic transitions
(a) e-mail: rar@physik.tu-chemnitz.de
Online publication: February 4, 1998
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