Friedel-oscillations-induced surface magnetic anisotropy

A. Szilva, S. Gallego, M. C. Muñoz, B. L. Györffy, G. Zaránd, L. Szunyogh

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We present detailed numerical studies of the magnetic anisotropy energy of a magnetic impurity near the surface of metallic hosts (Au and Cu) that we describe in terms of the tight-binding surface Green's-function technique. We study the case when spin-orbit coupling originates from the d band of the host material and we also investigate the case of a strong local spin-orbit coupling on the impurity itself. The splitting of the impurity's spin states is calculated to leading order in the exchange interaction between the impurity and the host atoms using the diagrammatic Green's-function technique. The magnetic anisotropy constant is an oscillating function of the separation d from the surface. It asymptotically decays as ∼1/ d2 and its oscillation period is determined by the extremal vectors of the host's Fermi surface. Our results clearly show that the host-induced magnetic anisotropy energy is by several orders of magnitude smaller than the anisotropy induced by the local mechanism, which provides sufficiently large anisotropy values to explain the size dependence of the Kondo resistance observed experimentally.

Original languageEnglish
Article number195418
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume78
Issue number19
DOIs
Publication statusPublished - Nov 18 2008

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Magnetic anisotropy
Impurities
oscillations
anisotropy
impurities
Green's function
Orbits
Anisotropy
Green's functions
Fermi surface
Exchange interactions
orbits
Fermi surfaces
Atoms
energy
decay
atoms
interactions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Friedel-oscillations-induced surface magnetic anisotropy. / Szilva, A.; Gallego, S.; Muñoz, M. C.; Györffy, B. L.; Zaránd, G.; Szunyogh, L.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 78, No. 19, 195418, 18.11.2008.

Research output: Contribution to journalArticle

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