The European Physical Journal B - Condensed Matter and Complex Systems

, Volume 14, Issue 2, pp 301–305

A generalized Ginzburg-Landau approach to second harmonic generation

  • D. Sa
  • R. Valentí
  • C. Gros

DOI: 10.1007/s100510050133

Cite this article as:
Sa, D., Valentí, R. & Gros, C. Eur. Phys. J. B (2000) 14: 301. doi:10.1007/s100510050133

Abstract:

We develop a generalized Ginzburg-Landau theory for second harmonic generation (SHG) in magnets by expanding the free energy in terms of the order parameter in the magnetic phase and the susceptibility tensor in the corresponding high-temperature phase. The non-zero components of the SHG susceptibility in the ordered phase are derived from the symmetries of the susceptibility tensor in the high-temperature phase and the symmetry of the order parameter. In this derivation, the dependence of the SHG susceptibility on the order parameter follows naturally, and therefore its nonreciprocal optical properties. We examine this phenomenology for the magnetoelectric compound Cr2O3 as well as for the ferroelectromagnet YMnO3.

PACS. 42.65.-k Nonlinear optics - 75.50.Ee Antiferromagnetics

Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2000

Authors and Affiliations

  • D. Sa
    • 1
  • R. Valentí
    • 2
  • C. Gros
    • 2
  1. 1.Institut für Physik, Universität Dortmund, 44221 Dortmund, GermanyDE
  2. 2.Fachbereich Physik, Universität des Saarlandes, 66041 Saarbrücken, GermanyDE