Anomalous Diffusion in Quasi One Dimensional Systems

Details Anomalous Diffusion in Quasi One Dimensional Systems Anomalous Diffusion in Quasi One Dimensional Systems

2000-02-11

arxiv.org/abs/cond-mat/0002178v2

Physica A 283 (2000) p. 302-305

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures. Typos corrected, published version

Scientific paper

10.1016/S0378-4371(00)00172-2

In order to perform quantum Hamiltonian dynamics minimizing localization effects, we introduce a quasi-one dimensional tight-binding model whose mean free path is smaller than the size of the sample. This one, in turn, is smaller than the localization length. We study the return probability to the starting layer of the system by means of direct diagonalization of the Hamiltonian. We create a one dimensional excitation and observe sub-diffusive behavior for times larger than the Debye time but shorter than the Heisenberg time. The exponent corresponds to the fractal dimension $d^{*} \sim 0.72$ which is compared to that calculated from the eigenstates by means of the inverse participation number.

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