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How a Fano Resonance Crosses the Mobility Edge in Quantum Waveguides

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Abstractnew scenario for the occurrence of a Fano resonance in the transmission probability of electron waveguides is investigated using a coupled-channel theory. Both a quantum dot and an antidot with… Click to show full abstract

Abstractnew scenario for the occurrence of a Fano resonance in the transmission probability of electron waveguides is investigated using a coupled-channel theory. Both a quantum dot and an antidot with either short- or finite-range interaction are embedded in the electron waveguide. Particularly, when the Fano resonance occurs close to the mobility edge (channel threshold), it is shown that Γ~U124/3, where Γ is the resonance width and U12 is the coupling strength between bound state and continuum. This is in contrast to the usual result Γ ~U122, which is valid when the resonance occurs far from the mobility edge. Furthermore, it is shown that increasing the size of both dot and antidot leads to larger resonance width.

Keywords: quantum; resonance crosses; resonance; mobility edge; fano resonance

Journal Title: Journal of Experimental and Theoretical Physics
Year Published: 2018

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