Point and Space Groups of Graphene
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DOI: 10.1007/s12045-019-0797-1
Abstract: Graphene — the first discovered ideal two-dimensional material combines a wealth of exhibited novel physical phenomena with an overwhelming potential for practical applications. It is a one atom thick material where the carbon atoms sit… read more here.
Keywords: groups graphene; space; material; point space ... See more keywords
Application of induction procedure and Smith decomposition in calculation and topological classification of electronic band structures in the 230 space groups
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DOI: 10.1103/physrevb.102.035110
Abstract: The electronic properties in a solid depend on the specific form of the wave-functions that represent the electronic states in the Brillouin zone. Since the discovery of topological insulators, much attention has been paid to… read more here.
Keywords: space groups; induction procedure; electronic band; space ... See more keywords
Lieb-Schultz-Mattis-type filling constraints in the 1651 magnetic space groups
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DOI: 10.1103/physrevb.97.165117
Abstract: We present the first systematic study of the filling constraints to realize a `trivial' insulator symmetric under magnetic space group $\mathcal{M}$. The filling $\nu$ must be an integer multiple of $m^{\mathcal{M}}$ to avoid spontaneous symmetry… read more here.
Keywords: space; schultz mattis; filling constraints; lieb schultz ... See more keywords
A Fuzzy Generating Set of 2D-Space Groups
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DOI: 10.1134/s1063774518070040
Abstract: Minimal generating sets for 17 2D-space (plane) groups have been derived. The concept of fuzzy generating set of a group is introduced. The considered groups are compared with respect to the degree of fuzziness of… read more here.
Keywords: set space; space groups; generating set; fuzzy generating ... See more keywords
Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups
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DOI: 10.3390/ma15175812
Abstract: Chirality depends on particular symmetries. For crystal structures it describes the absence of mirror planes and inversion centers, and in addition to translations, only rotations are allowed as symmetry elements. However, chiral space groups have… read more here.
Keywords: chirality solid; groups chirality; crystal structures; space groups ... See more keywords