The two-dimensional Anderson model of localization with random hopping

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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26 RevTeX 3.0 pages with 13 figures included via psfig

Scientific paper

10.1007/s100510050149

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.

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