A new class of groups is defined for describing the symmetry of spin arrangements in magnetic crystals. The general structure of these new groups, which we name wreath groups, is determined in a mathematically rigorous manner. Wreath groups are particularly suitable for describing incommensurate spin arrangements with varying magnitudes of spins. The use of wreath groups to classify all spin arrangements and the effect of such wreath group symmetries on elastic magnetic neutron diffraction are briefly discussed.
|Original language||English (US)|
|Number of pages||12|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - May 1980|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics