Interaction induced dimerization in zigzag single wall carbon nanotubes

Sam T. Carr, Alexander O. Gogolin, and Alexander A. Nersesyan
Phys. Rev. B 76, 245121 – Published 21 December 2007

Abstract

We derive a low-energy effective model of metallic zigzag carbon nanotubes at half filling. We show that there are three important features characterizing the low-energy properties of these systems: the long-range Coulomb interaction, umklapp scattering, and an explicit dimerization generated by interactions. The ratio of the dimerization induced gap and the Mott gap induced by the umklapp interactions is dependent on the radius of the nanotube and can drive the system upon increasing dimerization strength from a Haldane spin-liquid phase through a quantum phase transition with SU(2)1 quantum symmetry to a dimerized phase. We consider the physical properties of the phases on either side of this transition, which should be relevant for realistic nanotubes.

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  • Received 25 July 2007

DOI:https://doi.org/10.1103/PhysRevB.76.245121

©2007 American Physical Society

Authors & Affiliations

Sam T. Carr1, Alexander O. Gogolin2, and Alexander A. Nersesyan3,4

  • 1School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, United Kingdom
  • 2Department of Mathematics, Imperial College, 180 Queen’s Gate, London SW7 2BZ, United Kingdom
  • 3The Abdus Salam International Centre for Theoretical Physics, 34100 Trieste, Italy
  • 4The Andronikashvili Institute of Physics, Tamarashvili 6, 0177 Tbilisi, Georgia

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Issue

Vol. 76, Iss. 24 — 15 December 2007

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