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

Physics – Condensed Matter – Strongly Correlated Electrons

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19 pages, 4 figures, invited review article for special issue in J. Phys. Cond. Mat., published version

Scientific paper

We review the theoretical description of spin-orbit scattering and electron spin resonance in carbon nanotubes. Particular emphasis is laid on the effects of electron-electron interactions. The spin-orbit coupling is derived, and the resulting ESR spectrum is analyzed both using 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.

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