Narrow gap Luttinger liquid in Carbon nanotubes

Abstract

Electron interactions reinforce minigaps induced in metallic nanotubes by an external field and turn the gap field dependence into a universal power law. An exactly solvable Gross-Neveau model with an SU(4) symmetry is derived for neutral excitations near half-filling. Charge excitations, described by a sin-Gordon perturbation of Luttinger liquid theory, are composite solitons formed by the charged and neutral fields with two separate length scales. Charge compressibility at finite density, evaluated in terms of inter-soliton interaction, exhibits a crossover from overlapping to non-overlapping soliton state. Implications for the Coulomb blockade measurements are discussed.

4 pages, 2 figures

References in corpus (1)

• Suppression of tunneling into multi-wall carbon nanotubes

Cited by in corpus (28)

• Electron Interactions and Gap Opening in Graphene Superlattices
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Fundamental Optical Processes in Armchair Carbon Nanotubes
• Spin gap and Luttinger liquid description of the NMR relaxation in carbon nanotubes
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Wigner molecules in carbon-nanotube quantum dots
• Quantum Monte Carlo Calculations for Carbon Nanotubes
• Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
• Imaging anyons with scanning tunneling microscopy
• Coulomb Blockade Regime of a Single-Wall Nanotube
• Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes
• Electron properties of carbon nanotubes in a periodic potential
• Exciton Hierarchies in Gapped Carbon Nanotubes
• Wigner crystal phases in confined carbon nanotubes
• Quantum creep and quantum creep transitions in 1D sine-Gordan chains
• Superconducting instability in 3 band metallic nanotubes
• Magnetic response and quantum critical behavior in the doped two-leg extended Hubbard ladder
• Interaction induced dimerization in zigzag single wall carbon nanotubes
• Devil's staircase of incompressible electron states in a nanotube
• Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis
• Anomalous magnetization of a carbon nanotube as an excitonic insulator
• Band-Gap-Dependent Electronic Compressibility of Carbon Nanotubes in the Wigner Crystal Regime
• Graphene zigzag ribbons, square lattice models and quantum spin chains
• Spin-orbit coupling and proximity effects in metallic carbon nanotubes
• Parameters of Tomonaga-Luttinger liquid in a quasi-1D material with Coulomb interactions
• Strong correlation effects in single-wall carbon nanotubes
• Correlated insulating states in carbon nanotubes controlled by magnetic field
• Exciton Dynamics in Carbon Nanotubes: From the Luttinger Liquid to Harmonic Oscillators