Abstract

We have studied the electronic transport properties of open Sierpinski gasket systems in the presence of a magnetic field. The real-space renormalization-group scheme combined with the generalized eigenfunction method is used to calculate the transmission and reflection coefficients. Three kinds of electronic exits are investigated upto the thirtieth generation Sierpinski lattice. Some resonant-transmission features and the symmetry of the transmission coefficient T to the magnetic flux Φ are observed and discussed.

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