Coulomb Blockade Regime of a Single-Wall Nanotube

Abstract

A model of carbon nanotube at half filling is studied. The Coulomb interaction is assumed to be unscreened. It is shown that this allows to develop the adiabatic approximation which leads to considerable simplifications in calculations of the excitation spectrum. We give a detailed analysis of the spectrum and the phase diagram at half filling and discuss effects of small doping. At small doping several phases develop strong superconducting fluctuations corresponding to various types of pairing.

References in corpus (3)

• Broken time-reversal symmetry in strongly correlated ladder structures
• Competing Orders in Coupled Luttinger Liquids
• Narrow gap Luttinger liquid in Carbon nanotubes

Cited by in corpus (23)

• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Carbon nanotubes as excitonic insulators
• Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes
• Competing orders in the generalized Hund chain model at half-filling
• Twist instability in strongly correlated carbon nanotubes
• Superconducting instability in 3 band metallic nanotubes
• Dephasing in Rashba spin precession along mutlichannel quantum wires and nanotubes
• Magnetic response and quantum critical behavior in the doped two-leg extended Hubbard ladder
• Interaction induced dimerization in zigzag single wall carbon nanotubes
• Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
• Phase diagrams of the metallic zigzag carbon nanotube
• Anomalous magnetization of a carbon nanotube as an excitonic insulator
• Exciton-Peierls mechanism and universal many-body gaps in carbon nanotubes
• Decay of a plasmon into neutral modes in a carbon nanotube
• Riding a wild horse: Majorana fermions interacting with solitons of fast bosonic fields
• Interaction-driven giant orbital magnetic moments in carbon nanotubes
• Current instability and diamagnetism in small-diameter carbon nanotubes
• Hierarchy of relevant couplings in perturbative renormalization group transformations
• 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
• Quantum criticality in a Mott pn-junction in an armchair carbon nanotube
• Anomalous screening in narrow-gap carbon nanotubes