### Abstract

The dynamics for a model system of an isolated infinite step in a surface are presented. The model is simple, treating the monatomic step as the interface between two coupled semi-infinite and single semi-infinite atomic layers. The breakdown of translational symmetry perpendicular to the step edge gives rise to several Rayleigh-like branches localized in the neighbourhood of the step. It is seen that a step may lift the polarization degeneracy of the ordered surface Rayleigh mode along the atomic rows parallel to and in the neighbourhood of the step edge. Typical dispersion curves for these modes along the step edge are given with their polarizations. The vibrational Green functions are calculated for the system, and the spectral densities are presented numerically for atomic sites that constitute a minimum representative set in the neighbourhood of the step. A hyperfine resonance structure is obtained that permits the analysis of the evolution of the dynamics from one half-space to the other.

Original language | English |
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Pages (from-to) | 7589-7603 |

Number of pages | 15 |

Journal | Journal of Physics Condensed Matter |

Volume | 8 |

Issue number | 41 |

DOIs | |

Publication status | Published - 7 Oct 1996 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials

### Cite this

*Journal of Physics Condensed Matter*,

*8*(41), 7589-7603. https://doi.org/10.1088/0953-8984/8/41/008

**Dynamical properties of an isolated step.** / Virlouvet, A.; Grimech, H.; Khater, A.; Pennec, Y.; Maschke, K.

Research output: Contribution to journal › Article

*Journal of Physics Condensed Matter*, vol. 8, no. 41, pp. 7589-7603. https://doi.org/10.1088/0953-8984/8/41/008

}

TY - JOUR

T1 - Dynamical properties of an isolated step

AU - Virlouvet, A.

AU - Grimech, H.

AU - Khater, A.

AU - Pennec, Y.

AU - Maschke, K.

PY - 1996/10/7

Y1 - 1996/10/7

N2 - The dynamics for a model system of an isolated infinite step in a surface are presented. The model is simple, treating the monatomic step as the interface between two coupled semi-infinite and single semi-infinite atomic layers. The breakdown of translational symmetry perpendicular to the step edge gives rise to several Rayleigh-like branches localized in the neighbourhood of the step. It is seen that a step may lift the polarization degeneracy of the ordered surface Rayleigh mode along the atomic rows parallel to and in the neighbourhood of the step edge. Typical dispersion curves for these modes along the step edge are given with their polarizations. The vibrational Green functions are calculated for the system, and the spectral densities are presented numerically for atomic sites that constitute a minimum representative set in the neighbourhood of the step. A hyperfine resonance structure is obtained that permits the analysis of the evolution of the dynamics from one half-space to the other.

AB - The dynamics for a model system of an isolated infinite step in a surface are presented. The model is simple, treating the monatomic step as the interface between two coupled semi-infinite and single semi-infinite atomic layers. The breakdown of translational symmetry perpendicular to the step edge gives rise to several Rayleigh-like branches localized in the neighbourhood of the step. It is seen that a step may lift the polarization degeneracy of the ordered surface Rayleigh mode along the atomic rows parallel to and in the neighbourhood of the step edge. Typical dispersion curves for these modes along the step edge are given with their polarizations. The vibrational Green functions are calculated for the system, and the spectral densities are presented numerically for atomic sites that constitute a minimum representative set in the neighbourhood of the step. A hyperfine resonance structure is obtained that permits the analysis of the evolution of the dynamics from one half-space to the other.

UR - http://www.scopus.com/inward/record.url?scp=0007010521&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0007010521&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/8/41/008

DO - 10.1088/0953-8984/8/41/008

M3 - Article

VL - 8

SP - 7589

EP - 7603

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 41

ER -