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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 |
Appears in Collections: | Journal Article |
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