Beyond Crystals: Symmetry and Symmetry Breaking of Lattice Materials
The point group symmetry of materials is closely related to their physical properties and quite important for material modelling. However, superlattice materials have more complex symmetry conditions than crystals due to their multilevel structural feature. Thus, a theoretical framework is proposed to characterize and determine the point group symmetry of non-magnetic superlattice materials systematically. A variety of examples are presented to show the symmetry features of superlattice materials in different dimensions and scales.