Fano Resonances in Stubbed Quantum Waveguides with Impurities

Abstract

We consider T--shaped, two--dimensional quantum waveguides containing attractive or repulsive impurities with a smooth, realistic shape, and study how the resonance behavior of the total conductance depends upon the strength of the defect potential and the geometry of the device. The resonance parameters are determined locating the relevant S-matrix poles in the Riemann energy surface. The total scattering operator is obtained from the S-matrices of the various constituent segments of the device through the *-product composition rule. This allows for a numerically stable evaluation of the scattering matrix and of the resonance parameters.

23 pages, 6 figures

References in corpus (11)

• Fano Resonances in Electronic Transport through a Single Electron Transistor
• Fano resonances as a probe of phase coherence in quantum dots
• Resonance Lineshapes in Quasi-One-Dimensional Scattering
• Spin-current modulation and square-wave transmission through periodically stubbed electron waveguides
• Bound states in continuum in an electron waveguide
• Tunable Fano Resonances in Transport through Microwave Billiards
• Ballistic electron transport in stubbed quantum waveguides: experiment and theory
• Coherent electronic transport in a multimode quantum channel with Gaussian-type scatterers
• Scaling behavior in a quantum wire with scatterers
• Resonances in a two-dimensional electron waveguide with a single delta-function scatterer
• Simulation of Electron Transport through a Quantum Dot with Soft Walls

Cited by in corpus (6)

• Interference traps waves in open system: Bound states in the continuum
• Bound states in the continuum in open acoustic resonators
• Bound States in the Continuum in Two-Dimensional Serial Structures
• S-Matrix Poles Close to Thresholds in Confined Geometries
• Exact zero transmission during the Fano resonance phenomenon in non symmetric waveguides
• Shadow poles in a coupled-channel problem calculated with Berggren basis