Triple-Qand Single-QStates in Antiferromagnetic fcc Transition Metals with the First-Kind Ordering

Abstract

By using a real space expansion approach to calculate the Green function of d -electrons, the four-spin interaction is derived and the relative stability among various multiple spin density wave states is discussed for antiferromagnetic fcc transition metals with the first-kind ordering. The transition from a triple- Q state to a single- Q state is shown to occur with increasing or decreasing the number of d -electrons from the nearly half-filled band region.