Abstract
Helical phases characterized by a helix wave vectorQ which does not point along a major crystallographic axis are a recent theoretical discovery. Such configurations belong to wedge shaped regions in the parameter space and their existence in the tetragonal and hexagonal classical Heisenberg model was proved in the smallQ limit. Here we study this phase for allQ in the tetragonal lattice with competitive interactions up to fifth neighbours. We find that theswinging helix exists for any fifth neighbour interactionJ5<0, so that the existence of this phase is assured in a region of the parameter space wider than one expects on the basis of the smallQ expansion. The zero temperature phase diagram for the model we consider is given.
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