Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes

@article{Schulz2010SpinorbitCA,
  title={Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes},
  author={Andreas Schulz and Alessandro De Martino and Reinhold Egger},
  journal={Physical Review B},
  year={2010},
  volume={82},
  pages={033407}
}
The electronic spin-orbit coupling in carbon nanotubes is strongly enhanced by the curvature of the tube surface and has important effects on the single-particle spectrum. Here, we include the full spin-orbit interaction in the formulation of the effective low-energy theory for interacting electrons in metallic single-wall carbon nanotubes and study its consequences. The resulting theory is a four-channel Luttinger liquid, where spin and charge modes are mixed. We show that the analytic… 

Figures from this paper

Spin-orbit coupling and proximity effects in metallic carbon nanotubes

We study the spin-orbit coupling in metallic carbon nanotubes (CNTs) within the many-body Tomonaga-Luttinger liquid framework. For a well-defined subclass of metallic CNTs, that contains both achiral

Spin–orbit interaction in bent carbon nanotubes: resonant spin transitions

TLDR
It is demonstrated that the fractional resonances-counterparts of multiphoton transitions for atoms in strong laser fields-occurring in electrically controlled nanodevices already at moderate ac amplitudes-can be used to maintain the spin-flip transitions.

Interaction effects in a microscopic quantum wire model with strong spin–orbit interaction

We investigate the effect of strong interactions on the spectral properties of quantum wires with strong Rashba spin–orbit (SO) interaction in a magnetic field, using a combination of matrix product

Ab initio spin‐dependent band structures of carbon nanotubes

Using a linearized augmented cylindrical wave (LACW) approach taking into account the screw and rotational symmetries of carbon nanotubes (CNTs), the first principles technique for the spin-dependent

Phase diagram and phonon-induced backscattering in topological insulator nanowires

We present an effective low-energy theory of electron-phonon coupling effects for clean cylindrical topological insulator nanowires. Acoustic phonons are modelled by isotropic elastic continuum

Equivalence of Rashba-Hubbard and Hubbard chains

We review the fact that U(1) gauge symmetry enables the mapping of one-dimensional Hubbard chains with Rashba-type spin orbit coupling to renormalized Hubbard Hamiltonians. The existence of the

Local spectral properties of Luttinger liquids: scaling versus nonuniversal energy scales

TLDR
This work uses the bosonization approach to exactly compute the local spectral function of a simplified field theoretical low-energy model and takes a closer look at scaling properties as a function of the ratio of energy and temperature.

Response functions in multicomponent Luttinger liquids

We derive an analytic expression for the zero temperature Fourier transform of the density–density correlation function of a multicomponent Luttinger liquid with different velocities. By employing a

Spectral properties of Luttinger liquids: A comparative analysis of regular, helical, and spiral Luttinger liquids

B.B. acknowledges the support by the EU-FP7 project SE2ND [271554], the Swiss SNF, NCCR Nanoscience (Basel), and NCCR QSIT. C.B. is supported by the ERC Starting Independent Researcher Grant

References

SHOWING 1-10 OF 45 REFERENCES

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

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 and electron spin resonance theory for carbon nanotubes.

TLDR
A theoretical description of electron spin resonance (ESR) in 1D interacting metals is given, with primary emphasis on carbon nanotubes, and the resulting ESR spectrum is analyzed using a low-energy field theory.

Curvature-enhanced spin-orbit coupling in a carbon nanotube

Structure of the spin-orbit coupling varies from material to material and thus finding the correct spin-orbit coupling structure is an important step toward advanced spintronic applications. We show

Curvature-induced anisotropic spin-orbit splitting in carbon nanotubes

We have theoretically explored the spin-orbit interaction in carbon nanotubes. We show that, besides the dependences on chirality and diameter, the effects of spin-orbit coupling are anisotropic:

Spin-orbit coupling in interacting quasi-one-dimensional electron systems

TLDR
The combination of spin-orbit coupling and electron-electron interactions results in the replacement of separate spin and charge excitations with two new kinds of bosonic mixed-spin-charge excitation, and a characteristic modification of the spectral function and single-particle density of states.

Few-electron physics in a nanotube quantum dot with spin-orbit coupling

We study the few-electron eigenspectrum of a nanotube quantum dot with spin-orbit coupling. The two-electron phase diagram as a function of the length of the dot and the applied parallel magnetic

Spin-Orbit Interaction in Carbon Nanotubes

An effective-mass Hamiltonian is derived for carbon nanotubes in the presence of a weak spin-orbit interaction. The spin-orbit interaction gives rise to terms corresponding to a kind of a spin-Zeeman

Transverse-field-induced effects in carbon nanotubes

We investigate the properties of conduction electrons in single-walled armchair carbon nanotubes in the presence of both transverse electric and magnetic fields. We find that these fields provide a

Spin-orbit interaction and anomalous spin relaxation in carbon nanotube quantum dots

We study spin relaxation and decoherence in nanotube quantum dots caused by electron-lattice and spin-orbit interaction and predict striking effects induced by magnetic fields B. For particular

Rashba spin–orbit coupling and spin precession in carbon nanotubes

The Rashba spin–orbit coupling in carbon nanotubes and its effect on spin-dependent transport properties are analysed theoretically. We focus on clean non-interacting nanotubes with tunable number of