Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/42
Title: Elementary band representations for (double)-line groups
Authors: Milošević, Ivanka 
Dmitrović, Saša 
Vuković, Tatjana 
Dimić, A.
Damnjanović, M. 
Keywords: Carbon nanotubes;Elementary band representations;Line groups;Quasi-one-dimensional systems;Su-Schrieffer–Heeger model;Topology
Issue Date: 1-Nov-2020
Journal: Journal of Physics A: Mathematical and Theoretical
Abstract: 
Quantized topological invariants characterizing topological phases in quasi-1D materials are usually considered only on the basis of spatial inversion parity eigenvalues. However, symmetry of quasi-1D systems is far more complex and their complete topological characterisation can be obtained only on the basis of elementary band representations (EBRs) for the relevant symmetry groups. We derive complete sets of inequivalent EBRs for line groups (LG), the symmetry groups of all quasi-1D systems with either translational or helical periodicity. Besides, we determine also EBRs for double-LGs, accounting for spin degree of freedom. In order to illustrate applicability of the results obtained, we analyze electronic-band topology of a chiral single-wall carbon nanotube, using EBRs for relevant (double)-LG and discuss Su-Schrieffer–Heeger model from EBR-perspective.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/42
ISSN: 1751-8113
DOI: 10.1088/1751-8121/abba47
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