Transport through a double barrier in Large Radius Carbon Nanotubes in the presence of a transverse magnetic field

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, ${\alpha }_{bulk}$, 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 $G_{max}$ of the conductance peak according to the Sequential Tunneling follows a power law, $G\propto T^{{\gamma }_e-1}$ with ${\gamma }_e$ linearly dependent on the critical exponent, ${\alpha }_{end}$, strongly reduced by $B$.

8 pages, 3 figures, PACS numbers: 05.60.Gg, 71.10.Pm, 73.63.-b, 71.20.Tx, 72.80.Rj

References in corpus (3)

• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Correlation effects on resonant tunneling in one-dimensional quantum wires
• Suppression of electron-electron repulsion and superconductivity in Ultra Small Carbon Nanotubes