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Particle propagation in a random and quasi-periodic potential

✍ Scribed by F. Borgonovi; D.L. Shepelyansky

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
537 KB
Volume
109
Category
Article
ISSN
0167-2789

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✦ Synopsis

We numerically investigate the Anderson transition in an effective dimension d (3 < d < 11) for one particle propagation in a model random and quasi-periodic potential. The found critical exponents are different from the standard scaling picture. We discuss possible reasons for this difference.

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By using two almost periodic driven potentials derived from substitution sequences, effectively mimicking an infinite number of frequencies, we numerically find different exponents for the diffusion constant as an indication that the limit of infinite number of frequencies in quasiperiodic kicked sy