SYMMETRY PROPERTIES OF WAVE FUNCTIONS IN MAGNETIC CRYSTALS

Abstract

The symmetry properties of wave functions in magnetic crystals are discussed in terms of the irreducible representations of magnetic space groups. The specific effects of the magnetic ordering on the crystal eigenstates are of three types: (1) There is a lifting of some eigenfunction degeneracies because the crystal symmetry is reduced in the magnetic state; (2) New Brillouin zone surfaces are introduced if there is a reduction in translational symmetry; (3) The symmetry of the energy band in K-space may be reduced. The rutile structure is considered as a specific example and the space groups of MnF2 and MnO2 in their magnetic and nonmagneti states are obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 11, 1962
Accession Number
AD0271644

Entities

People

  • J.o. Dimmock
  • R.g. Wheeler

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Band Structures
  • Brillouin Zones
  • Crystals
  • Eigenvectors
  • Energy Bands
  • Mathematics
  • Symmetry
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Linear Algebra
  • Materials Science and Engineering.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Space