Transmission gaps, trapped modes and Fano resonances in Aharonov–Bohm connected mesoscopic loops

2018 ◽  
Vol 382 (9) ◽  
pp. 613-620 ◽  
Author(s):  
T. Mrabti ◽  
Z. Labdouti ◽  
O. El Abouti ◽  
E.H. El Boudouti ◽  
F. Fethi ◽  
...  
Keyword(s):  
Fano Resonances ◽  
Trapped Modes ◽  
Aharonov Bohm

Quantum Dots: Fano Resonances in an Aharonov–Bohm Ring

2009 ◽  
pp. 7289-7309
Author(s):  
Arkady M. Satanin ◽  
Eric R. Hedin ◽  
Yong S. Joe
Keyword(s):  
Quantum Dots ◽  
Fano Resonances ◽  
Aharonov Bohm

Fano resonances in acoustics

2010 ◽  
Vol 664 ◽  
pp. 238-264 ◽  
Author(s):  
STEFAN HEIN ◽  
WERNER KOCH ◽  
LOTHAR NANNEN
Keyword(s):  
Acoustic Waves ◽  
Open Systems ◽  
Absorbing Boundary Conditions ◽  
Circular Cylinders ◽  
Fano Resonances ◽  
Trapped Modes ◽  
Mean Flow ◽  
Scattering Problems ◽  
Complex Scaling Method ◽  
Confined Domains

In contrast to completely open systems, laterally confined domains can sustain localized, truly trapped modes with nominally zero radiation loss. These discrete resonant modes cannot be excited linearly by the continuous propagating duct modes due to symmetry constraints. If the symmetry of the geometry is broken the trapped modes become highly localized quasi-trapped modes which can interfere with the propagating duct modes. The resulting narrowband Fano resonances with resonance and antiresonance features are a generic phenomenon in all scattering problems with multiple resonant pathways. This paper deals with the classical scattering of acoustic waves by various obstacles such as hard-walled single and multiple circular cylinders or rectangular and wedge-like screens in a two-dimensional duct without mean flow. The transmission and reflection coefficients as well as the (complex) resonances are computed numerically by means of the finite-element method in conjunction with two different absorbing boundary conditions, namely the complex scaling method and the Hardy space method. The results exhibit the typical asymmetric Fano line shapes near the trapped-mode resonances if the symmetry of the geometry is broken.

Effects of surface tension on trapped modes in a two-layer fluid

2016 ◽  
Vol 57 ◽  
pp. 189
Author(s):  
Sunanda Saha ◽  
Swaroop Nandan BORA
Keyword(s):  
Surface Tension ◽  
Trapped Modes

Phenomena and devices at the quantum scale and the mesoscale

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Coulomb Blockade ◽  
Secure Communication ◽  
Quantum Hall ◽  
Nanoscale Device ◽  
Self Energy ◽  
Stability Diagrams ◽  
Charge Stability ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

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