Anomalous diffusion at the Anderson transitions

Details Anomalous diffusion at the Anderson transitions Anomalous diffusion at the Anderson transitions

1997-01-04

arxiv.org/abs/cond-mat/9701013v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revtex, 2 figures, to appear in J. Phys. Soc. Jpn.(1997) Feb

Scientific paper

10.1143/JPSJ.66.314

Diffusion of electrons in three dimensional disordered systems is investigated numerically for all the three universality classes, namely, orthogonal, unitary and symplectic ensembles. The second moment of the wave packet $<\vv{r}^2(t)>$ at the Anderson transition is shown to behave as $\sim t^a (a\approx 2/3)$. From the temporal autocorrelation function $C(t)$, the fractal dimension $D_2$ is deduced, which is almost half the value of space dimension for all the universality classes.

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