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Fano resonances with discrete breathers
Mikhail V. Fistul,Sergej Flach,Andrey E. Miroshnichenko,Victor Fleurov +3 more
- Vol. 2003
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TLDR
A theoretical study of linear wave scattering by time-periodic spatially localized excitations (discrete breathers) is presented and an analytical result for the frequency dependence of the transmission coefficient is given, including the possibility of resonant reflection.Abstract:
A theoretical study of linear wave scattering by time-periodic spatially localized excitations (discrete breathers) is presented. A peculiar effect of total reflection occurs due to a Fano resonance when a localized state originating from closed channels resonates with the open channel. For the discrete nonlinear Schrödinger chain, we give an analytical result for the frequency dependence of the transmission coefficient, including the possibility of resonant reflection. We extend the analysis to chains of weakly coupled anharmonic oscillators and discuss the relevance of the effect for electronic transport spectroscopy of mesoscopic systems.read more
Citations
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Journal ArticleDOI
Fano resonances in nanoscale structures
TL;DR: In this paper, the authors introduce the concept of Fano resonances, which can be reduced to the interaction of a discrete (localized) state with a continuum of propagation modes, and explain their geometrical and/or dynamical origin.
Journal ArticleDOI
Discrete breathers — Advances in theory and applications
Sergej Flach,Andrey V. Gorbach +1 more
TL;DR: In this paper, the authors introduce the concept of localized excitations and review their basic properties including dynamical and structural stability, and focus on advances in the theory of discrete breathers in three directions.
Journal ArticleDOI
Discrete Breathers: Localization and transfer of energy in discrete Hamiltonian nonlinear systems
TL;DR: In this article, the authors present a partial review of results concerning the theory of discrete breathing in nonlinear hamiltonian and discrete systems, and discuss their linear stability and the interaction of Discrete Breathers with small amplitude waves.
Journal ArticleDOI
Discrete breathers in Fermi-Pasta-Ulam lattices
Sergej Flach,Andrey V. Gorbach +1 more
TL;DR: The interplay between energy thresholds for breathers in the presence of strongly asymmetric FPU potentials and the corresponding profiles of the low-frequency limit of breather families are analyzed.
Journal ArticleDOI
Perspectives on the Fano Resonance Formula
TL;DR: In this paper, a discussion of subtleties in handling continuum states with regard to their normalization, orthogonality, and completeness has been presented, together with some of the simplest derivations of the Fano formula.
References
More filters
Journal ArticleDOI
Fano resonances in nanoscale structures
TL;DR: In this paper, the authors introduce the concept of Fano resonances, which can be reduced to the interaction of a discrete (localized) state with a continuum of propagation modes, and explain their geometrical and/or dynamical origin.
Journal ArticleDOI
Discrete breathers — Advances in theory and applications
Sergej Flach,Andrey V. Gorbach +1 more
TL;DR: In this paper, the authors introduce the concept of localized excitations and review their basic properties including dynamical and structural stability, and focus on advances in the theory of discrete breathers in three directions.
Journal ArticleDOI
Discrete Breathers: Localization and transfer of energy in discrete Hamiltonian nonlinear systems
TL;DR: In this article, the authors present a partial review of results concerning the theory of discrete breathing in nonlinear hamiltonian and discrete systems, and discuss their linear stability and the interaction of Discrete Breathers with small amplitude waves.
Journal ArticleDOI
Discrete breathers in Fermi-Pasta-Ulam lattices
Sergej Flach,Andrey V. Gorbach +1 more
TL;DR: The interplay between energy thresholds for breathers in the presence of strongly asymmetric FPU potentials and the corresponding profiles of the low-frequency limit of breather families are analyzed.