The Spin Configuration in Antiferromagnetic YMn_2 with the Cubic Laves Phase (C15) Structure

Abstract

The complicated spin configuration observed in YMn₂ with the cubicLaves phase (C15) structure is deduced through the exchange interactionsbetween the second and/or third neighbors together with the antiferromagneticinteraction between the nearest neighbors, by making use of the Luttinger-Tiszamethod on the classical spin Heisenberg model. The spin configuration isdescribed with a modulation wave vector pointing at the X point on theBrillouin zone boundary and shown to be stable with respect to its smalldeviations, i.e., long range modulations.