Spin Waves in the Dilute Heisenberg Ferromagnet
- 1 January 1972
- proceedings article
- Published by AIP Publishing in AIP Conference Proceedings
- Vol. 5 (1) , 1345-1349
- https://doi.org/10.1063/1.2953872
Abstract
The energy of long wave length spin waves in dilute Heisenberg ferromagnets is calculated. It is shown that spin waves can exist only within an infinite cluster of magnetic spins and that such spin waves are mechanically stable. Heuristic arguments based on dimensionality of the infinite cluster imply that there is no thermal instability of the type discussed by Mermin and Wagner. Thus, the critical concentration for ferromagnetism is essentially equal to percolation concentration.Keywords
This publication has 0 references indexed in Scilit: