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Fano resonances with discrete breathers
S Flach1, A E Miroshnichenko, V Fleurov
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.
Physical Review Letters
|March 14, 2003
Summary
This study reveals Fano resonance in wave scattering by discrete breathers, causing total reflection. This phenomenon is analyzed for nonlinear chains and has implications for mesoscopic electronic transport.
Area of Science:
- Theoretical physics
- Condensed matter physics
- Nonlinear dynamics
Background:
- Wave scattering phenomena are crucial in understanding energy and information transport.
- Discrete breathers are localized, time-periodic excitations in nonlinear systems.
- Fano resonance describes interference between a discrete state and a continuum.
Purpose of the Study:
- To theoretically investigate linear wave scattering by discrete breathers.
- To analyze the occurrence and characteristics of Fano resonance in such systems.
- To explore the implications for electronic transport in mesoscopic systems.
Main Methods:
- Development of a theoretical model for wave scattering.
- Analytical calculation of the frequency-dependent transmission coefficient.
- Application of the model to discrete nonlinear Schrödinger chains and coupled anharmonic oscillators.
Main Results:
- Demonstration of a Fano resonance leading to total wave reflection.
- Derivation of an analytical expression for the transmission coefficient, including resonant reflection.
- Identification of conditions for resonant reflection based on channel coupling.
Conclusions:
- Fano resonance provides a mechanism for complete wave reflection by discrete breathers.
- The findings offer insights into wave propagation in complex nonlinear media.
- The effect is relevant for designing and interpreting experiments in electronic transport spectroscopy.