In this paper, concepts such as lattices and translational and rotational invariance are critically reviewed as far as their applications for infinite and semi-infinite multilayer systems are concerned. It turns out that new terms such as parent three-dimensional lattices and colloquial lattices have to be defined. Particular attention is given to the consequences of these new concepts as well as to a spin-polarized, fully relativistic description for magnetic multilayers within the local density functional approximation.
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