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

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

2007-07-24

arxiv.org/abs/0707.3569v1

Eur. Phys. J. B 52, 469-476 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1140/epjb/e2006-00326-3

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 $B$.

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