Understanding the Fano Resonance : through Toy Models

Abstract

The Fano Resonance, involving the mixing between a quasi-bound `discrete' state of an inelastic channel lying in the continuum of scattering states belonging to the elastic channel, has several subtle features. The underlying ideas have recently attracted attention in connection with interference effects in quantum wires and mesoscopic transport phenomena. Simple toy models are provided in the present study to illustrate the basics of the Fano resonance in a simple and tractable setting.

17 pages, 1 figure

References in corpus (2)

• Tuning of the Fano Effect through a Quantum Dot in an Aharonov-Bohm Interferometer
• Mesoscopic Fano Effect in a Quantum Dot Embedded in an Aharonov-Bohm Ring

Cited by in corpus (4)

• Fano resonances in nanoscale structures
• Fano resonances and their control in optomechanics
• Fano resonance in discrete lattice models: controlling lineshapes with impurities
• Controlling the $2p$ Hole Alignment in Neon via the $2s$-$3p$ Fano Resonance