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Spin–orbit coupling and electron spin resonance for interacting electrons in carbon nanotubes

A De Martino1, R Egger1,3, F Murphy-Armando2 and K Hallberg2

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We review the theoretical description of spin–orbit (SO) scattering and electron spin resonance (ESR) in carbon nanotubes. Particular emphasis is laid on the effects of electron–electron interactions. The SO coupling is derived and the resulting ESR spectrum is analysed using both the effective low-energy field theory and numerical studies of finite-size Hubbard chains and two-leg Hubbard ladders. For single-wall tubes, the field theoretical description predicts a double-peak spectrum linked to the existence of spin–charge separation. The numerical analysis basically confirms this picture, but also predicts additional features in finite-size samples.


PACS

71.70.Ej Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect

71.10.Fd Lattice fermion models (Hubbard model, etc.)

76.30.-v Electron paramagnetic resonance and relaxation

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 17 (5 May 2004)

Received 16 May 2003, in final form 24 September 2003

Published 16 April 2004



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