Transport through a double barrier in Large Radius Carbon Nanotubes in the presence of 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, αbulk, for the tunneling density of states, which is in agreement with that observed in transport experiments. Then, the problem of the 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 T , where the Luttinger behaviour dominates. The temperature dependence of the maximum Gmax of the conductance peak according to the Sequential Tunneling follows a power law, G ∝ T γe−1 with γe linearly dependent on the critical exponent, αend , strongly reduced by B.