Anomalous diffusion at the Anderson transitions
Ohtsuki, Tomi · Kawarabayashi, Tohru
Original · EN
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 <r²(t)> at the Anderson transition is shown to behave as tᵃ (a≈ 2/3). From the temporal autocorrelation function C(t), the fractal dimension D₂ is deduced, which is almost half the value of space dimension for all the universality classes.
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