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We give an exhaustive characterization of the topology of band structures in class AI, using nonsymmorphic space group 33 ($Pna2_1$) as a representative example where a great variety of symmetry protected line-nodal structures can be formed.
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This is obtained through the Fourier transform of an appropriate basis set modeling the physical degrees of freedom. In particular, we assume real space functions that have the periodicity of the sub-lattice sites belonging to the same Wyckoff position and not only the periodicity of the Bravais lattice. This choice of a trivializing reference section of the total Bloch bundle has been shown to be the more physically relevant for studying parallel transports, see Refs. Fruchart et al. 2014 ; Moore 2017
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