Symmetry analysis of magnetic structures and spin-waves on the basis of a stabilizer concept

摘要: Abstract The common scheme for the group theory analysis of a crystal magnetic structure and spin-wave spectrum is developed. This based on representation space G (for analysis) co-representation Shubnikov M magnetically ordered spin wave analysis). Unlike standard calculation, procedure proposed in this paper conception stabilizer-the symmetry single atoms, considerably symplified calculation work, reducing it to work with elements stabilizer representatives expansion or groups respect stabilizer. It enough calculate components basic functions only at one atom, as other atoms they may be found by action representatives. For symmetrization Hamiltonian matrix new mathematical used over double coset classes. lets us easily find symmetric relations between different elements. method illustrated example complicated garnet Dy3Al5O12. advantages are especially obvious case structures great number primitive cell.