| Summary: | 碩士 === 國立臺灣大學 === 物理研究所 === 103 === In the thesis, we calculate transmission coefficients of charge and spin in deterministic and random fractals by using Landau-Keldysh formalism. Besides, consider two setups, two leads and four leads, in both of cases. In the deterministic fractals, we find out that charge and spin are only accumulated in the beginning of the applied bias when the amount of defects increase to a designated value. And, transmission coefficients are followed a formula which is related with opened tunnels in the conductor. In the random fractals, we not only do a deeply studying to seek that values of threshold probability in three kind lattices but also are looking for the properties of charge and spin. They express the same as our reference values. The square lattice, triangular lattice and honeycomb lattice are 0.59, 0.50 and 0.70 for each.
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