Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/506
Title: Double line groups: Structure, irreducible representations and spin splitting of the bands
Authors: Lazić, Nataša 
Milivojević, M.
Vuković, Tatjana 
Damnjanović, M. 
Keywords: double groups;quasi-one-dimensional systems;spin splitting
Issue Date: 8-May-2018
Journal: Journal of Physics A: Mathematical and Theoretical
Abstract: 
Double line groups are derived, structurally examined and classified within 13 infinite families. Their irreducible representations, found and tabulated, single out the complete set of conserved quantum numbers in fermionic quasi-one-dimensional systems possessing either translational periodicity or incommensurate helical symmetry. Spin-orbit interaction is analyzed: the induced orbital band splitting and the consequent removal of the spin degeneracy are completely explained. Being incompatible with vertical mirror symmetry, as well as with simultaneous invariance under time-reversal and horizontal (roto)reflections, spin splitting and spin polarized currents may occur only in the systems with the first and the fifth family double line group symmetry. The effects are illustrated on carbon nanotubes.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/506
ISSN: 1751-8113
DOI: 10.1088/1751-8121/aabe9a
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