On the spatial structure of anomalously localised states in disordered conductors

Details On the spatial structure of anomalously localised states in disordered conductors On the spatial structure of anomalously localised states in disordered conductors

2002-10-09

arxiv.org/abs/cond-mat/0210202v1

Phys. Rev. B 66, 233104 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures, submitted to Phys. Rev. B (Brief Reports)

Scientific paper

10.1103/PhysRevB.66.233104

We study the spatial structure of wave functions with exceptionally high local amplitudes in the Anderson model of localisation. By means of exact diagonalisations of finite systems, we obtain and analyse images of these wave functions: we compare the spatial structure of such anomalously localised states in quasi-one-dimensional samples to that in three-dimensional samples. In both cases the average wave-function intensity exhibits a very narrow peak. The background intensity, however, is found to be very different in these two cases: in three dimensions, it is constant, independent of the distance to the localisation centre (as expected for extended states). In quasi-one dimensional samples, on the other hand, it is redistributed towards the localisation centre and approaches a characteristic form predicted in [A. D. Mirlin, Phys. Rep. 326, 249 (2000)].

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