The two - dimensional Anderson model of localization
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چکیده
We examine the localization properties of the 2D Anderson Hamiltonian with oo-diagonal disorder. Investigating the behavior of the participation numbers of eigenstates as well as studying their multifractal properties, we nd states in the center of the band which show critical behavior up to the system size N = 200200 considered. This result is connrmed 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 1 critical states become localized.
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تاریخ انتشار 1997