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

Abstract

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.

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

References in corpus (4)

• Electron Spin Resonance in S=1/2 antiferromagnetic chains
• Spin-orbit coupling and ESR theory for carbon nanotubes
• Spin-dependent transport in a Luttinger liquid
• ESR theory for interacting 1D quantum wires

Cited by in corpus (7)

• Spin-orbital effects in magnetized quantum wires and spin chains
• Curvature-induced anisotropic spin-orbit splitting in carbon nanotubes
• Electron spin resonance signal of Luttinger liquids and single-wall carbon nanotubes
• Intrinsic spin-orbit interactions in flat and curved graphene nanoribbons
• Rashba spin-orbit coupling and spin precession in carbon nanotubes
• Electron spin relaxation in semiconducting carbon nanotubes: the role of hyperfine interaction
• Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes