Aeronautics and Space Transportation Technology
Nanoelectronics Modeling
M. P. Anantram, Liu Yang, T. R. Govindan, Jie Han, Alexei Svizhenko
Nanoelectronics research at Ames encompasses topics in molecular devices and miniaturization of conventional semiconductor devices. The objective is to acquire the knowledge necessary to build future generations of computing devices and sensors to fulfill NASA's challenges in aerospace transport and space missions. There were three significant accomplishments in FY99. First, we modeled electron transport in capped carbon nanotubes and gleaned the effect of caps and defects on electron emission, which is important in the use of the nanotubes as probe tips and wires. Second, through modeling and analysis we related conductance to mechanical deformation of carbon nanotubes, which is important in the use of nanotubes as sensors. Third, we developed a simulator for quantum mechanical transport in semiconductor devices, which provides important capability to study future generations of ultrasmall devices. A brief description of each follows.

The large length-to-diameter ratio of carbon nanotubes makes them good candidates for molecular wires and field emitters, and for use in probe-tip applications where electron emission from the tip of the capped tube is important. The results show that transmission probability mimics the behavior of the electronic density of states at all energies except the localized energy levels of a polyhedral cap (figure 1). The close proximity of a substrate causes hybridization of the localized state. As a result, subtle quantum interference between various transmission paths gives rise to antiresonances in the transmission probability, at energies of the localized states (figure 1). Our observations indicate that by appropriately engineering the location of defects, these antiresonances can be transformed to huge transmission resonances. This is especially useful because these resonances offer a way to obtain a large current density in a narrow energy window around the localized energy level.

A potential application of carbon nanotubes as sensors is exploiting the relationship between mechanical deformation and electronic properties of the tubes. Our work provides fundamental insights into this relationship by providing detailed answers for the band-gap variation with tensile and torsional strain as a function of nanotube chirality, diameter, and magnitude of strain. The electronic properties of a nanotube in equilibrium are determined by indices (n, m), which define the chirality and diameter. The significant results are that (1) the magnitude of slope of band gap versus strain has an almost universal behavior that depends only on the chiral angle, and (2) the sign of slope depends only on the value of (n - m) mod 3. Figure 2 demonstrates these results for the case of tensile strain. For example, (6,5) and (6,4) nanotubes have chiral angles close to each other but the slope of band gap versus strain has opposite signs.

As devices continue to be miniaturized, modeling tools based on quantum physics become increasingly important. The difficulty in building such a simulator lies in developing a set of physical approximations that enable solutions on available supercomputers. We have developed such a two-dimensional device simulator which solves the nonequilibrium Green's function equations and Poisson's equation self-consistently on a nonuniform spatial grid. Figure 3 shows the self-consistently calculated charge density for one such case. The simulation predicts the expected small electron density close to the gate (x = 0 nm) at the large potential barrier created by the gate oxide.

Point of Contact: M. Anantram
(650) 604-1852
anant@nas.nasa.gov

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  • Fig. 1. (a) Density of states (DOS) versus energy in the cap region of a (10,10) nanotube with a polyhedral cap. The peak in DOS corresponds to localized energy levels in the cap. (b) The transmission antiresonances correspond to the DOS peaks in (a). The inset shows an expanded region of one antireso-nance. In the presence of appropriate defects these transmission antiresonances are converted to reso-nances capable of carrying large currents when compared to the background energies.


    Fig. 2. Band gap versus tensile strain: for semicon-ducting tubes, the sign of slope of band gap versus strain depends only on the value of (n - m) mod 3 values of 1, -1 and 0, respectively.


    Fig. 3. Self-consistently calculated charge density when the gate and drain bias is equal to 0.5 V. The grid spacing is about an Angstrom near the gate (x = 0 nm), and 10 times larger near the substrate (x = 120 nm). The x-axis is perpendicular to the gate (from gate to substrate) and the y-axis is along the transport direction (from source to drain). X and Y are in units of nm, and density is in units of cm -3.

    Research & Technology 1999
    NASA Ames Research Center


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