The longitudinal transported properties of the one-dimensional (1D) multilayer system - Canter fractal multiquantum wells (MQWs) - have been studied from the tunneling point of view. A transfer matrix technique is introduced for the calculation of the transmission coefficient. Some new results have been obtained. It is found that its tunneling spectrum is more complex and distinct than that of the periodic MQWs. High peak-valley ratios are obtained in the tunneling spectra of the well-width-modulated Canter fractal MQWs. There is a continuous wide band of resonant tunneling through the Canter fractal MQWs.
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