By Slava V. Rotkin, Shekhar Subramoney
The publication describes the state of the art in primary, utilized and equipment physics of nanotubes, together with fabrication, manipulation and characterization for gadget purposes; optics of nanotubes; delivery and electromechanical units and basics of concept for purposes. this knowledge is necessary to the sector of nanoscience due to the fact that nanotubes have the aptitude to turn into a truly major digital fabric for many years to return. The ebook will gain all all readers drawn to the appliance of nanotubes, both of their theoretical foundations or in newly constructed characterization instruments that could permit useful machine fabrication.
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Extra info for Applied Physics of Carbon Nanotubes: Fundamentals of Theory, Optics and Transport Devices
EER ≥ ∆Em and eEb < γ, the band structure changes qualitatively. 3 V/˚ A. The two lowest subbands are always crossing, even at very large ﬁelds, when the band structure has already been noticeably modiﬁed . 1 V/˚ A (see Fig. 8b), the Fermi points shift toward the Γ point (k = 0) and the two lowest subbands are ﬂattened near the Fermi points. At the same time, all states that were degenerate with respect to the angular momentum, ±m, split. The splitting becomes more obvious closer to the lowest subbands, similarly to the spontaneous splitting described in the last section.
20) and reads as: − ρ(r) − 4π e2 νM G(r, r )ρ(r )dr = ϕxt (r). 21) This equation can be inverted analytically for simple cases. In general, it allows only numerical solutions or may be expressed as a series. 21) has been performed in . An interesting result is that the nanotube may be divided into three parts: two contact regions and a “central” region. The side parts are the regions near the side contact (or near the NT end if no external contact screens the electrostatic potential) of a length about several h long (several R long if no contact is present), where h is the distance to the screening gate.
In this case the SWNT is metallic. (ii) The zigzag/chiral nanotube of a certain diameter and chirality has subbands that are separated by a non–zero band gap (Fig. 3 left, semiconductor tubes). (iii) One-third of zigzag and chiral nanotubes have a very small gap (quasi–metallic tubes). All three cases are almost equivalent for NEMS applications in the case of degenerate injection/doping, if the 2 If the nanotube geometry is diﬀerent from the ideal one because of small NT deformations one can still use the same theory, as will be explained in Sect.