Fano resonances with discrete breathers

Physical Review Letters

Volumn 90, Issue 8, 2003, Pages

  Flach, S ^a   Miroshnichenko, A E ^a   Fleurov, V ^b   Fistul, M V ^c  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b TEL AVIV UNIVERSITY   (Israel)

^c UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON REFLECTION; ELECTRON SCATTERING; ELECTRON SPECTROSCOPY; ELECTRON TRANSPORT PROPERTIES; FERMI LEVEL; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES;

DISCRETE NONLINEAR SCHRODINGER SYSTEM; ELECTRONIC TRANSPORT SPECTROSCOPY; FANO RESONANCE; LINEAR WAVE SCATTERING; RESONANT REFLECTION; TIME-PERIODIC SPATIALLY LOCALIZED EXCITATION;

ELECTRON RESONANCE;

EID: 0037471155     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

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20. To find this result, we may look at the derivation of the renormalization of the Fano resonance in Ref. [8] for the case of electron scattering in quantum wires. The shift of the resonance is given there by the integral in the last line of Eq. (A11), which zeros if the coupling potential is δ-like. This analysis can be redone for discrete systems, which we consider here, and the same zero shift will be obtained for the single-site coupling (Kronecker symbol appears instead of the δ function). However, if the coupling involves several sites a finite shift of the total reflection with respect to the local mode due to the closed channel is obtained.
21. For details concerning the numerical methods of obtaining high precision transmission data, we refer to [6].