Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-02-07
Nucl.Phys. B663 (2003) 605-621
Physics
Condensed Matter
Strongly Correlated Electrons
16 pages, 5 figures, PACS codes: 73.40, 11.10.G
Scientific paper
10.1016/S0550-3213(03)00384-5
We develop a dimensional regularization approach to deal with the low-energy effects of the long-range Coulomb interaction in 1D electron systems. The method allows us to avoid the infrared singularities arising from the long-range Coulomb interaction at D = 1, providing at the same time insight about the fixed-points of the theory. We show that the effect of increasing the number N of subbands at the Fermi level is opposite to that of approaching the bare Coulomb interaction in the limit D --> 1. Then, we devise a double scaling limit, in which the large N effects are able to tame the singularities due to the long-range interaction. Thus, regular expressions can be obtained for all observables right at D = 1, bearing also a dependence o the doping level of the system. Our results imply a variation with N in the value of the exponent for the tunneling density of states, which is in fair agreement with that observed in different transport experiments involving carbon nanotubes. As the doping level is increased in nanotubes of large radius and multi-walled nanotubes, we predict a significant reduction of order N^{-1/2} in the critical exponent of the tunneling density of states.
Bellucci Stefano
Gonzalez Jesús J.
Onorato Pasquale
No associations
LandOfFree
Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-294701