【33页精品】High-dimensional generalizations of the kagome and diamond crystals and the decorrelation principle for periodic sphere packings

Abstract: In this paper, we introduce constructions of the high-dimensionalgeneralizations of the kagome and diamond crystals. The two-dimensional kagomecrystal and its three-dimensional counterpart, the pyrochlore crystal, havebeen extensively studied in the context of geometric frustration inantiferromagnetic materials. Similarly, the polymorphs of elemental carbonincl..