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Anomalous diffusion at the Anderson transitions by Ohtsuki, Tomi; Kawarabayashi, Tohru is a scholarly article available to read on EtoBox.

What is Anomalous diffusion at the Anderson transitions about?

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.

Author

Ohtsuki, Tomi; Kawarabayashi, Tohru

Published

1997

Language

EN