What is Noncollinear Magnetism?

  • Peter Weinberger

Abstract

The terms “collinear” and “noncollinear” refer originally to a geometrical concept. Nowadays they are frequently used to classify magnetism in a rather vague sense. In the present paper an attempt is made to classify collinear and noncollinear by means of transformation properties of classical vectors (Heisenberg-like models of magnetism), and spinors and bispinors as used within a nonrelativistic and a relativistic description of magnetism based on the (local) density functional approach.

Keywords

Invariance Condition Transformation Property Translational Symmetry Spin Space Band Side 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. L. Udvardi et al., J. Magn. Magn. Mater.,submitted for publication; C. Uiberacker, Diplomarbeit, Technical University of Vienna, 1996.Google Scholar
  2. 2.
    For all group theoretical notations and aspects see S. L. Altmann and P. Herzig, Point-Group Theory Tables ( Clarendon Press, Oxford, 1994 ).Google Scholar
  3. 3.
    See for example: L. Jansen and M. Boom, Theory of Finite Groups: Applications to Physics (North Holland, Amsterdam, 1967 ).Google Scholar
  4. 4.
    See also the detailed discussion in P. Weinberger, Philos. Mag. B 75, 509 (1997).Google Scholar

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Peter Weinberger
    • 1
  1. 1.Institut für Technische Elektrochemie and Center for Computational Materials ScienceTechnical University of ViennaViennaAustria

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