Spin splitting induced by spin-orbit interaction in chiral nanotubes

Physical Review Letters

Volumn 93, Issue 17, 2004, Pages

  Chico, L ^a   Lopez Sancho M P ^b   Munoz M C ^b  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b INSTITUTO DE CIENCIA DE MATERIALES DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; ELECTRIC FIELD EFFECTS; ELECTRONIC STRUCTURE; ELECTRONS; FERMI LEVEL; MAGNETIC FIELD EFFECTS; METAL SPINNING; POLARIZATION; SEMICONDUCTOR MATERIALS;

CHIRALITY; SINGLE-ELECTRON TRANSPORT; SPIN SPLITTING; SPIN-ORBITAL INTERACTION;

CARBON NANOTUBES;

EID: 19744381881     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.176402     Document Type: Article

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28. 2.
29. If (n, m) are the nanotube indices, then for primary metallic nanotubes n - m = 3q, where q is an integer.
30. Saito et al. (see, e.g., Ref. [1]) use the terms metal-1 and metal-2 with the same meaning.
31. R = 3d, it is a Γ metal (see Ref. [1]).
32. 5d. The corresponding irreducible representations are two 1D and four 2D. This allows us to classify the eigenvalues, yielding two nondegenerate and four doubly degenerate bands out of the ten conduction and ten valence bands.
33. 9d. It has two 1D and eight 2D irreducible representations. Thus, out of the 18 conduction and 18 valence bands, only two are non-degenerate and eight are doubly degenerate.
34. N groups; for the (7,1) tube N = 38, and for (9,3) N = 78. See Ref. [1] for details. In all cases the irreducible representations are either 2D or 1D.