Narrow-Gap Luttinger Liquid in Carbon Nanotubes

L. S. Levitov and A. M. Tsvelik
Phys. Rev. Lett. 90, 016401 – Published 2 January 2003

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 sine-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 intersoliton interaction, exhibits a crossover from overlapping to nonoverlapping soliton state. Implications for the Coulomb blockade measurements are discussed.

  • Figure
  • Received 16 May 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.016401

©2003 American Physical Society

Authors & Affiliations

L. S. Levitov1 and A. M. Tsvelik2

  • 1Department of Physics, Center for Material Sciences & Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139
  • 2Department of Physics, Brookhaven National Laboratory, Upton, New York 11973-5000

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Issue

Vol. 90, Iss. 1 — 10 January 2003

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