Abstract
In order to perform a detailed analysis of computer results for the localization of electrons in two-dimensional disordered systems, we first carry out a numerical calculation of wavefunctions for square lattice with the site-diagonal and/or off-diagonal random matrix elements. With a view to giving a reasonable prediction for infinite systems, we propose the way how we could predict the infinite limit from our results for finite sizes. For the analysis, we use the distribution function of | a i | 2 –the amplitude of a given wavefunction at site i . Moreover, we introduce the entropy of mixing as a new criterion for localization in addition to previously proposed criteria. According to our criteria, we assert that the “apparently” extended behaviours of the wavefunctions for finite sizes are interpreted as actually spurious where the linear dimensions of the system size is smaller than the localization length.
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