Low-Temperature Conductance of Crossed Carbon Nanotubes

Low-Temperature Conductance of Crossed Carbon Nanotubes -...

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ISSN 1063-7761, Journal of Experimental and Theoretical Physics, 2007, Vol. 105, No. 1, pp. 210–213. © Pleiades Publishing, Inc., 2007. Original Russian Text © V.A. Margulis, M.A. Pyataev, 2007, published in Zhurnal Éksperimental’no œ i Teoretichesko œ Fiziki, 2007, Vol. 132, No. 1, pp. 237–240. 210 Owing to its unique physical properties, carbon nan- otubes are considered as one of promising materials for the electronics of the future. It is obvious that the design of integrated circuits on the basis of carbon nanotubes suggests the use of a large number of contacts between these tubes. Recent progress in technology has made it possible to investigate experimentally the electron transport through such contacts [1, 2]. Several theoreti- cal models have been proposed [3–5] for studying the physical properties of joint nanotubes. In particular, in [5], the authors applied the tight-binding model to con- sider the electron transport in a system consisting of two single-wall nanotubes forming a cross-shaped nanostructure. However, it should be noted that the approach based on the tight-binding method suggests performing long and tedious computations, which do not always allow one to Fnd out the physics behind the phenomenon under investigation. Moreover, such an approach is effective only for nanotubes of relatively small diame- ters, whereas in [1] the authors experimentally investi- gated nanotubes of diameters 25–30 nm. Therefore, there is a need for a sufFciently simple model for study- ing a contact between nanotubes, that would admit an explicit analytic solution. The aim of the present study is to investigate the conductance of two crossed semiconducting carbon nanotubes that have a point contact. The schematic of the structure under investigation is shown in the inset of ±ig. 1. Each nanotube is modeled by a conducting cyl- inder of radius r j ( j = 1, 2). The electron Hamiltonian H of the system represents a direct sum of the Hamilto- nians of its parts, HH 1 H 2 , = perturbed by the zero-radius potentials at the point of contact. ±or each cylinder, it is convenient to introduce its own cylindrical system of coordinates. Then, the electron Hamiltonian in the j th nanotube can be expressed as (1) where m * is the electron effective mass and p z and L z are the operators of the projections of the momentum and the angular momentum onto the axis of a nanotube.
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Low-Temperature Conductance of Crossed Carbon Nanotubes -...

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