Abstract
It is shown that the symmetry of single-electron Hamiltonians, used traditionally in computations of the band structure of magnetically ordered crystals, is described completely by spin space groups for which independent transformations of the magnetic moment and lattice are allowable, to taking account of the spin-orbit interaction which yields a contribution to the energy of the magnetic anisotropy, the symmetry of the Hamiltonian is de scribed by a magnetic group, which is a subgroup of the spin space group. Cases of paramagnetic, ferromagnetic, and antiferro-magnetic crystals are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
W. F. Brinkman and R. J. Elliott, J. Appl. Phys.,37, 1457 (1966).
W. F. Brinkman and R. J. Elliott, Proc. R. Soc.,A294, 343 (1966).
A. P. Cracknell, Adv. Phys.,23, 673 (1974).
E. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra, Academic Press (1959).
C. Herring, Phys. Rev.,52, 361 (1937).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 20–25, September, 1979.
Rights and permissions
About this article
Cite this article
Sandratskii, L.M. Classification of single-electron states in a crystal on the basis of spin space groups. Soviet Physics Journal 22, 941–945 (1979). https://doi.org/10.1007/BF00891386
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00891386