Transverse field-induced effects in carbon nanotubes

Abstract

We investigate the properties of conduction electrons in single-walled armchair carbon nanotubes (SWNT) in the presence of both transverse electric and magnetic fields. We find that these fields provide a controlled means of tuning low-energy band structure properties such as inducing gaps in the spectrum, breaking various symmetries and altering the Fermi velocities. We show that the fields can strongly affect electron-electron interaction, yielding tunable Luttinger liquid physics, the possibility of spin-charge-band separation, and a competition between spin-density-wave and charge-density-wave order. For short tubes, the fields can alter boundary conditions and associated single-particle level spacings as well as quantum dot behavior.

16 pages

References in corpus (5)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Spin-charge separation and localization in one-dimension
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Tunneling into strongly biased Tomonaga-Luttinger liquid
• Transport through a double barrier in Large Radius Carbon Nanotubes in the presence of a transverse magnetic field

Cited by in corpus (7)

• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Tunable Luttinger liquid physics in biased bilayer graphene
• Exciton Hierarchies in Gapped Carbon Nanotubes
• Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes
• Carbon nanotubes in almost homogeneous transverse magnetic field: exactly solvable model
• Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis
• Accessing nanotube bands via crossed electric and magnetic fields