Abstract
Transport properties of the three-dimensional (3-D) quasiperiodic systems have been studied for the 3-D Penrose lattice at zero temperature. The linear scaling with respect to the sample width (cross-section) is observed. With increasing sample width, the conductance fluctuation as a function of the Fermi energy is suppressed and a smooth energy dependence is obtained for larger samples. This suggests that the transport properties of the 3-D quasiperiodic systems are less anomalous than those of the low-dimensional quasiperiodic systems. The sample-length dependence of the conductance is, on the other hand, not that expected for extended Bloch waves and the conductance decreases with increasing sample length.
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