Magnetic field effects and renormalization of the longrange Coulomb interaction in carbon nanotubes
Abstract
We develop two theoretical approaches for dealing with the lowenergy effects of the repulsive interaction in onedimensional electron systems. Renormalization Group methods allow us to study the lowenergy behavior of the unscreened interaction between currents of welldefined chirality in a strictly onedimensional electron system. A dimensional regularization approach is useful, when dealing with the lowenergy effects of the longrange Coulomb interaction. This method allows us to avoid the infrared singularities arising from the longrange Coulomb interaction at D = 1. We can also compare these approaches with the Luttinger model, to analyze the effects of the shortrange term in the interaction. Thanks to these methods, we are able to discuss the effects of a strong magnetic field B in quasi onedimensional 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:
 INFN, Laboratori Nazionali di Frascati, P.O. Box 13, 00044 Frascati (Italy). Email: Stefano.Bellucci@lnf.infn.it
 INFN, Laboratori Nazionali di Frascati, P.O. Box 13, 00044 Frascati (Italy)
 (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: S00034916(05)001909; 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; CHARGEDPARTICLE TRANSPORT; CHIRALITY; ELECTRONS; INTERACTIONS; MAGNETIC FIELDS; NANOTUBES; ONEDIMENSIONAL 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 longrange 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 longrange 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 longrange 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 longrange 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 lowenergy effects of the repulsive interaction in onedimensional electron systems. Renormalization Group methods allow us to study the lowenergy behavior of the unscreened interaction between currents of welldefined chirality in a strictly onedimensional electron system. A dimensional regularization approach is useful, when dealing with the lowenergy effects of the longrange Coulomb interaction. This method allows us to avoid the infrared singularities arising from the longrange Coulomb interaction at D = 1. We can also compare these approaches with the Luttinger model, to analyze the effects of the shortrange term in the interaction. Thanks to these methods, we are able to discuss the effects of a strong magnetic field B in quasi onedimensional 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}
}

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