### Abstract

We present the solution of the full magnetic problem arising from the absence of magnetic translation symmetry in two dimensions due to an extended magnetic surface step on the surface boundary of an insulating magnetic substrate. The calculation concerns in particular the spin fluctuation dynamics of a magnetic atomic step in the surface of a ferromagnetic simple cubic lattice, the spin order being in the direction normal to surface boundary. Only exchange interactions are considered between the spins in the model. The theoretical approach determines the evanescent spin fluctuation field in the two dimensional plane normal to the direction of the step edge. This field arises owing to the absence of magnetic translation symmetry in this plane, and is completely independent of the form of the surface defect, underlying the general character of the calculation. We show the existence of optical localised magnon modes propagating along the step, their fields being evanescent in the plane normal to the step direction.

Original language | English |
---|---|

Pages (from-to) | 335-341 |

Number of pages | 7 |

Journal | European Physical Journal B |

Volume | 12 |

Issue number | 3 |

Publication status | Published - 1 Dec 1999 |

Externally published | Yes |

### Fingerprint

### Keywords

- 75.30.Et Exchange and superexchange interactions
- 75.70.Ak Magnetic properties of monolayers and thin films
- 76.70.Hb Optically detected magnetic resonance (ODMR)

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*European Physical Journal B*,

*12*(3), 335-341.

**Magnons localised on surface steps : A theoretical model.** / Abou Ghantous, M.; Khater, A.

Research output: Contribution to journal › Article

*European Physical Journal B*, vol. 12, no. 3, pp. 335-341.

}

TY - JOUR

T1 - Magnons localised on surface steps

T2 - A theoretical model

AU - Abou Ghantous, M.

AU - Khater, A.

PY - 1999/12/1

Y1 - 1999/12/1

N2 - We present the solution of the full magnetic problem arising from the absence of magnetic translation symmetry in two dimensions due to an extended magnetic surface step on the surface boundary of an insulating magnetic substrate. The calculation concerns in particular the spin fluctuation dynamics of a magnetic atomic step in the surface of a ferromagnetic simple cubic lattice, the spin order being in the direction normal to surface boundary. Only exchange interactions are considered between the spins in the model. The theoretical approach determines the evanescent spin fluctuation field in the two dimensional plane normal to the direction of the step edge. This field arises owing to the absence of magnetic translation symmetry in this plane, and is completely independent of the form of the surface defect, underlying the general character of the calculation. We show the existence of optical localised magnon modes propagating along the step, their fields being evanescent in the plane normal to the step direction.

AB - We present the solution of the full magnetic problem arising from the absence of magnetic translation symmetry in two dimensions due to an extended magnetic surface step on the surface boundary of an insulating magnetic substrate. The calculation concerns in particular the spin fluctuation dynamics of a magnetic atomic step in the surface of a ferromagnetic simple cubic lattice, the spin order being in the direction normal to surface boundary. Only exchange interactions are considered between the spins in the model. The theoretical approach determines the evanescent spin fluctuation field in the two dimensional plane normal to the direction of the step edge. This field arises owing to the absence of magnetic translation symmetry in this plane, and is completely independent of the form of the surface defect, underlying the general character of the calculation. We show the existence of optical localised magnon modes propagating along the step, their fields being evanescent in the plane normal to the step direction.

KW - 75.30.Et Exchange and superexchange interactions

KW - 75.70.Ak Magnetic properties of monolayers and thin films

KW - 76.70.Hb Optically detected magnetic resonance (ODMR)

UR - http://www.scopus.com/inward/record.url?scp=0001429141&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001429141&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001429141

VL - 12

SP - 335

EP - 341

JO - Zeitschrift fur Physik B-Condensed Matter

JF - Zeitschrift fur Physik B-Condensed Matter

SN - 0722-3277

IS - 3

ER -