Fano resonances in the process of multichannel scattering in quantum waveguides with narrows

Recent years show sharp increase of interest in the study of devices based on ballistic electron transport in nanowires. Such devices can be used as field effect transistors [1], resonant tunneling diodes [2], lasers [3], as well as qubits [4]. Quantum resonators in nanowires (quantum waveguides) can be created by application of an external potential to certain areas of the waveguide [2]. However, there is a much easier way to create quantum resonators: by forming two or more narrows in the waveguide [5, 6].