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Spin Splitting in Quasi‐One Dimensional Systems
Author(s) -
Milivojević Marko,
Lazić Nataša,
Dmitrović Saša,
Damnjanović Milan,
Vuković Tatjana
Publication year - 2018
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201800184
Subject(s) - physics , polarization (electrochemistry) , spin (aerodynamics) , spin polarization , condensed matter physics , symmetry (geometry) , mirror symmetry , degeneracy (biology) , electron , theoretical physics , quantum mechanics , geometry , mathematics , chemistry , biology , thermodynamics , bioinformatics
Spin‐orbit induced phenomena in quasi‐one‐dimensional systems are analyzed with the help of double line groups and their irreducible representations. Orbital band splitting and removal of the spin degeneracy are found to be incompatible with vertical mirror symmetry, as well as with simultaneous invariance under the time reversal and horizontal (roto) reflections. This singles out systems with the first and the fifth family line group symmetry as the only candidates for spin polarized currents; direction of electron spin polarization is also determined by the system symmetry. When applied to carbon nanotubes the developed theory enlightens a number of interesting results concerning the band topology and spin polarization of bands.