Six trigonal space groups enforce accordion-like Weyl points and three enforce Weyl nodal lines; tellurium and Te16Si38 are candidate realizations.
Movable but not removable band degeneracies in a symmorphic crystal
1 Pith paper cite this work. Polarity classification is still indexing.
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Pith paper citing it
abstract
Crossings of energy bands in solids that are not pinned at symmetry points in the Brillouin zone and yet cannot be removed by perturbations are thought to be conditioned on the presence of a nonsymmorphic symmetry. In this Letter we show that such band crossings can actually appear also in a symmorphic crystal. A study of a class of tight-binding multiband one-dimensional lattice models of spinful electrons reveals that chiral, time-reversal and site-mirror symmetries are suffcient to produce such movable but not removable band degeneracies.
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Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines
Six trigonal space groups enforce accordion-like Weyl points and three enforce Weyl nodal lines; tellurium and Te16Si38 are candidate realizations.