Propagation of Waves Through one-Dimensional Cantor-Like Fractal Media |
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| Authors: | Nian-Hua LIU Wei-Guo FENG Xiang WU |
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| Institution: | 1. Institute of Materials Science, Nanchang University Nanchang 330047, China;
2. Pohl Institute of Solid State Physics, Tongji University, Shanghai 200092, China;
3. Center of Theoretical Physics, CCAST (World Laboratory), Beijing 100080, China;
4. International Center for Materials Physics, Academia Sinica, Shenyang 110015, China |
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| Abstract: | We consider the resonant tunneling of electrons through one-dimensional Cantor-like fractal barriers. By means of a transfer matrix method, we present a general formalism to calculate the transmission and give some numerical examples. It is found that the transmission spectrum shows rich fractal patterns due to the self-similar geometry of the Cantor set. The scaling behaviour of the transmission spectrum is explored. By plotting the amplitudes of the wave functions, we also investigate the quasi-localization properties of the electrons. |
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