Eur. Phys. J. B 52, 469-476 (2006)
https://doi.org/10.1140/epjb/e2006-00326-3

Transport through a double barrier in Large Radius Carbon Nanotubes with a transverse magnetic field

¹ INFN, Laboratori Nazionali di Frascati, P.O. Box 13, 00044 Frascati, Italy
² Department of Physics “A. Volta”, University of Pavia, via Bassi 6, 27100 Pavia, Italy

Corresponding author: ^a bellucci@Inf.infn.it

Received: 2 December 2005
Revised: 24 July 2006
Published online: 21 August 2006

Abstract

We discuss the Luttinger Liquid behaviour of Large Radius Carbon Nanotube e.g. the Multi Wall ones (MWNT), under the action of a transverse magnetic field B. Our results imply a reduction with B in the value of the bulk critical exponent, α_bulk, for the tunneling density of states, which is in agreement with that observed in transport experiments. Then, the problem of transport through a Quantum Dot formed by two intramolecular tunneling barriers along the MWNT, weakly coupled to Tomonaga-Luttinger liquids is studied, including the action of a strong transverse magnetic field B. We predict the presence of some peaks in the conductance G versus B, related to the magnetic flux quantization in the ballistic regime, at a very low temperature T, and also at higher values of T, where the Luttinger behaviour dominates. The temperature dependence of the maximum G_max of the conductance peak according to the Sequential Tunneling follows a power law, G ∝T^γe-1 with γ_e linearly dependent on the critical exponent, α_end, strongly reduced by B.