# Surface defects characterization in a quantum wire by coherent phonons scattering

## Abstract

The influence of surface defects on the scattering properties of elastic waves in a quasi-planar crystallographic waveguide is studied in the harmonic approximation using the matching method formalism. The structural model is based on three infinite atomic chains forming a perfect lattice surmounted by an atomic surface defect. Following the Landauer approach, we solve directly the Newton dynamical equation with scattering boundary conditions and taking into account the next nearest neighbour’s interaction. A detailed study of the defect-induced fluctuations in the transmission spectra is presented for different adatom masses. As in the electronic case, the presence of localized defect-induced states leads to Fano-like resonances. In the language of mechanical vibrations, these are called continuum resonances. Numerical results reveal the intimate relation between transmission spectra and localized defect states and provide a basis for the understanding of conductance spectroscopy experiments in disordered mesoscopic systems. The results could be useful for the design of phononic devices.

- Authors:

- Laboratoire de Mécanique des Structures et Energétique, Faculté du Génie de la Construction, Université. Mammeri de Tizi-Ouzou, BP 17 RP Hasnaoua II, Tizi-Ouzou 15000, Algérie m2msr@yahoo.fr (Algeria)

- Publication Date:

- OSTI Identifier:
- 22391335

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1653; Journal Issue: 1; Conference: APMAS 2014: 4. International Congress in Advances in Applied Physics and Materials Science, Fethiye (Turkey), 24-27 Apr 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 77 NANOSCIENCE AND NANOTECHNOLOGY; ABSORPTION SPECTRA; APPROXIMATIONS; BOUNDARY CONDITIONS; CRYSTAL DEFECTS; CRYSTAL LATTICES; FLUCTUATIONS; MECHANICAL VIBRATIONS; PHONONS; QUANTUM WIRES; SCATTERING; SPECTROSCOPY; STRUCTURAL MODELS; SURFACES

### Citation Formats

```
Rabia, M. S.
```*Surface defects characterization in a quantum wire by coherent phonons scattering*. United States: N. p., 2015.
Web. doi:10.1063/1.4914283.

```
Rabia, M. S.
```*Surface defects characterization in a quantum wire by coherent phonons scattering*. United States. doi:10.1063/1.4914283.

```
Rabia, M. S. Mon .
"Surface defects characterization in a quantum wire by coherent phonons scattering". United States.
doi:10.1063/1.4914283.
```

```
@article{osti_22391335,
```

title = {Surface defects characterization in a quantum wire by coherent phonons scattering},

author = {Rabia, M. S.},

abstractNote = {The influence of surface defects on the scattering properties of elastic waves in a quasi-planar crystallographic waveguide is studied in the harmonic approximation using the matching method formalism. The structural model is based on three infinite atomic chains forming a perfect lattice surmounted by an atomic surface defect. Following the Landauer approach, we solve directly the Newton dynamical equation with scattering boundary conditions and taking into account the next nearest neighbour’s interaction. A detailed study of the defect-induced fluctuations in the transmission spectra is presented for different adatom masses. As in the electronic case, the presence of localized defect-induced states leads to Fano-like resonances. In the language of mechanical vibrations, these are called continuum resonances. Numerical results reveal the intimate relation between transmission spectra and localized defect states and provide a basis for the understanding of conductance spectroscopy experiments in disordered mesoscopic systems. The results could be useful for the design of phononic devices.},

doi = {10.1063/1.4914283},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1653,

place = {United States},

year = {Mon Mar 30 00:00:00 EDT 2015},

month = {Mon Mar 30 00:00:00 EDT 2015}

}