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Phys. Rev. Lett. 90, 084101 (2003) [4 pages]

Fano Resonances with Discrete Breathers

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S. Flach1, A. E. Miroshnichenko1, V. Fleurov2, and M. V. Fistul3
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
2Beverly and Raymond Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
3Physikalisches Institut III, Universität Erlangen-Nürnberg, D-91058, Erlangen, Germany

Received 15 November 2002; published 27 February 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.084101
DOI:
10.1103/PhysRevLett.90.084101
PACS:
05.45.–a, 42.25.Bs, 73.23.–b