### Abstract

We theoretically study the effect of electron-phonon (e-ph) interaction on a Fano resonance in an Aharonov-Bohm interferometer with an embedded quantum dot. We examine the bias-voltage (V) dependence of the decoherence, using Keldysh Green function method and perturbation with respect to e-ph interaction. With optical phonons of energy ω_{0}, only the elastic process takes place when eV < ω_{0}, in which electrons emit and absorb phonons virtually. The process suppresses the resonant amplitude. When eV > ω_{0}, the inelastic process is possible which is accompaniedby real emission of phonons. It results in the dephasing and broadens the resonant width. With acoustic phonons, the asymmetric shape of the Fano resonance grows like a symmetric one as the bias voltage increases, in qualitative accordance with experimental results.

Original language | English |
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Title of host publication | Physics of Semiconductors - 28th International Conference on the Physics of Semiconductors, ICPS 2006, Part A and B |

Pages | 839-840 |

Number of pages | 2 |

DOIs | |

Publication status | Published - 2007 Dec 1 |

Event | 28th International Conference on the Physics of Semiconductors, ICPS 2006 - Vienna, Austria Duration: 2006 Jul 24 → 2006 Jul 28 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 893 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | 28th International Conference on the Physics of Semiconductors, ICPS 2006 |
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Country | Austria |

City | Vienna |

Period | 06/7/24 → 06/7/28 |

### Keywords

- Aharonov-Bohm interferometer
- Decoherence
- Electron-phonon interaction
- Fano resonance
- Keldysh Green function
- Quantum dot

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Physics of Semiconductors - 28th International Conference on the Physics of Semiconductors, ICPS 2006, Part A and B*(pp. 839-840). (AIP Conference Proceedings; Vol. 893). https://doi.org/10.1063/1.2730152