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

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<Subscript>bulk</Subscript>, 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<Subscript>max</Subscript> of the conductance peak according to the Sequential Tunneling follows a power law, G ∝T<Superscript>γe-1</Superscript> with γ<Subscript>e</Subscript> linearly dependent on the critical exponent, α<Subscript>end</Subscript>, strongly reduced by B. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006