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Title: Magnetic field effects and renormalization of the long-range Coulomb interaction in carbon nanotubes

Abstract

We develop two theoretical approaches for dealing with the low-energy effects of the repulsive interaction in one-dimensional electron systems. Renormalization Group methods allow us to study the low-energy behavior of the unscreened interaction between currents of well-defined chirality in a strictly one-dimensional electron system. A dimensional regularization approach is useful, when dealing with the low-energy effects of the long-range Coulomb interaction. This method allows us to avoid the infrared singularities arising from the long-range Coulomb interaction at D = 1. We can also compare these approaches with the Luttinger model, to analyze the effects of the short-range term in the interaction. Thanks to these methods, we are able to discuss the effects of a strong magnetic field B in quasi one-dimensional electron systems, by focusing our attention on Carbon Nanotubes. Our results imply a variation with B in the value of the critical exponent {alpha} for the tunneling density of states, which is in fair agreement with that observed in a recent transport experiment involving carbon nanotubes. The dimensional regularization allows us to predict the disappearance of the Luttinger liquid, when the magnetic field increases, with the formation of a chiral liquid with {alpha} = 0.

Authors:
 [1];  [2];  [3]
  1. INFN, Laboratori Nazionali di Frascati, P.O. Box 13, 00044 Frascati (Italy). E-mail: Stefano.Bellucci@lnf.infn.it
  2. INFN, Laboratori Nazionali di Frascati, P.O. Box 13, 00044 Frascati (Italy)
  3. (Italy)
Publication Date:
OSTI Identifier:
20767004
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 321; Journal Issue: 4; Other Information: DOI: 10.1016/j.aop.2005.08.010; PII: S0003-4916(05)00190-9; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CARBON; CHARGED-PARTICLE TRANSPORT; CHIRALITY; ELECTRONS; INTERACTIONS; MAGNETIC FIELDS; NANOTUBES; ONE-DIMENSIONAL CALCULATIONS; RENORMALIZATION; SINGULARITY; TUNNEL EFFECT

Citation Formats

Bellucci, S., Onorato, P., and Dipartimento di Scienze Fisiche, Universita di Roma Tre, Via della Vasca Navale 84, 00146 Rome. Magnetic field effects and renormalization of the long-range Coulomb interaction in carbon nanotubes. United States: N. p., 2006. Web. doi:10.1016/j.aop.2005.08.010.
Bellucci, S., Onorato, P., & Dipartimento di Scienze Fisiche, Universita di Roma Tre, Via della Vasca Navale 84, 00146 Rome. Magnetic field effects and renormalization of the long-range Coulomb interaction in carbon nanotubes. United States. doi:10.1016/j.aop.2005.08.010.
Bellucci, S., Onorato, P., and Dipartimento di Scienze Fisiche, Universita di Roma Tre, Via della Vasca Navale 84, 00146 Rome. Sat . "Magnetic field effects and renormalization of the long-range Coulomb interaction in carbon nanotubes". United States. doi:10.1016/j.aop.2005.08.010.
@article{osti_20767004,
title = {Magnetic field effects and renormalization of the long-range Coulomb interaction in carbon nanotubes},
author = {Bellucci, S. and Onorato, P. and Dipartimento di Scienze Fisiche, Universita di Roma Tre, Via della Vasca Navale 84, 00146 Rome},
abstractNote = {We develop two theoretical approaches for dealing with the low-energy effects of the repulsive interaction in one-dimensional electron systems. Renormalization Group methods allow us to study the low-energy behavior of the unscreened interaction between currents of well-defined chirality in a strictly one-dimensional electron system. A dimensional regularization approach is useful, when dealing with the low-energy effects of the long-range Coulomb interaction. This method allows us to avoid the infrared singularities arising from the long-range Coulomb interaction at D = 1. We can also compare these approaches with the Luttinger model, to analyze the effects of the short-range term in the interaction. Thanks to these methods, we are able to discuss the effects of a strong magnetic field B in quasi one-dimensional electron systems, by focusing our attention on Carbon Nanotubes. Our results imply a variation with B in the value of the critical exponent {alpha} for the tunneling density of states, which is in fair agreement with that observed in a recent transport experiment involving carbon nanotubes. The dimensional regularization allows us to predict the disappearance of the Luttinger liquid, when the magnetic field increases, with the formation of a chiral liquid with {alpha} = 0.},
doi = {10.1016/j.aop.2005.08.010},
journal = {Annals of Physics (New York)},
number = 4,
volume = 321,
place = {United States},
year = {Sat Apr 15 00:00:00 EDT 2006},
month = {Sat Apr 15 00:00:00 EDT 2006}
}