A set of coupled equations of motion for the evaluation of spin dynamics in magnets is introduced. This adiabatic approach considers the orientation of the local magnetic moments to be slowly varying relative to their magnitudes. The method is implemented within the local density approximation and applied to $\gamma$-Fe, a frustrated system where we obtain new low energy magnetic configurations.

• Received 10 February 1995

DOI:https://doi.org/10.1103/PhysRevLett.75.729