Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-04-07
Phys. Rev. B 80, 075409 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages, 4 figures, to be published on Physical Review B
Scientific paper
10.1103/PhysRevB.80.075409
Structure of the spin-orbit coupling varies from material to material and thus finding the correct spin-orbit coupling structure is an important step towards advanced spintronic applications. We show theoretically that the curvature in a carbon nanotube generates two types of the spin-orbit coupling, one of which was not recognized before. In addition to the topological phase-related contribution of the spin-orbit coupling, which appears in the off-diagonal part of the effective Dirac Hamiltonian of carbon nanotubes, there is another contribution that appears in the diagonal part. The existence of the diagonal term can modify spin-orbit coupling effects qualitatively, an example of which is the electron-hole asymmetric spin splitting observed recently, and generate four qualitatively different behavior of energy level dependence on parallel magnetic field. It is demonstrated that the diagonal term applies to a curved graphene as well. This result should be valuable for spintronic applications of graphitic materials.
Jeong Jae-Seung
Lee Hyun Woo
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