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AIST TODAYNo.10 Autumn 2003


Computational Sciences on the Frontiers of Nanotechnology

Nanotechnology 2
Tamio IKESHOJI,
Research Institute for Computational Sciences
e-mail address

Nanotechnology can be defined as technology that aims to create objects with new functions that cannot be created in bulk, such as molecular electronic devices and catalysts, from nanoscale components such as atoms, molecules or clusters thereof. Although new, non-bulk functions can sometimes be predicted through experimental work, the use of computer science to reveal mechanisms and predict nanostructures offers extremely effective support for the effort to develop these functions. We expect computational sciences to play an increasingly vital role in nanotechnology in this way.

The functions that researchers are trying to achieve through nanotechnology cover a wide range that embraces devices, catalysts, sensors and much else. Nonetheless most of this range can be approached through a relatively small set of calculation methods, such as electronic state computing and molecular-dynamics computing. The unique advantages of computational sciences are therefore expected to enable the unification of many disparate aspects of nanotechnology research.

Research Institute for Computational Sciences has made nanotechnology its highest priority and is hard at work developing highly accurate and large-scale computational methods and raising the speed of the necessary software code. We are also working to develop and publish these tools in a more user-friendly form.

Electronic state calculations
-First-principle molecular dynamics-
In the first-principle molecular dynamics dynamics and stable configurations of atoms are calculated through electronic state based on quantum mechanics. To perform computing of this kind, we developed dedicated computer code called STATE. STATE is a powerful computer program with high-speed parallel processing, particularly, for calculations of high-precision surface state, the strength of vibration spectra and magnetic-field. Using STATE, the decomposition reaction of formic acid on titanium oxide (Figure 1) was possible. And reaction heat and frequency and its strength of adsorbate in some other basic catalytic reactions were also calculated. These calculations accorded closely with actual experimental results. STATE is already used in joint research by a number of groups, and was released within AIST in July as part of TACPACK, an integrated software package developed by Tsukuba Advanced Computing Center
(TACC) and RICS.

Although STATE provides large-scale, high-precision computing power, computing time rises by a power of between 2 and 3 as the number of atoms increases, so computation becomes more difficult as the size of the system increases. To address this problem, the Institute developed, for the first time in the world, a unique order (N) method based (ABRED) on the recursion method, which reduced the computing load to a power of 1 to the number of atoms.

Although parallel programming of this method has not yet been conducted, it is now possible to compute electronic state of systems for a few hundred atoms on a single PC. The method has already been applied to problems in carbon nanotubes and manganese polynuclear complexes. One difference between this method and other order (N) approaches is that it can be applied to metals. The program has been optimized to enable calculations on up to the fourth row of atoms. After further parallelization of the code, the Institute plans to release it for general use.

To provide methods of electronic state computing, we are currently developing a density functional method using finite element bases (FEMTECK) as well as a fragment molecular orbital method (FMO) for large molecules such as proteins. All of these calculations are performed using AIST's Hitachi SR8000 supercomputer, which has been proven to offer highly efficient parallel processing using 512 CPUs. Within two or three years, we expect to be able to use the fragment molecular orbital method, on a large PC cluster, to calculate the structures of proteins composed of thousands of atoms.

Figure 1
Figure 1. Energy diagram produced using first-principle molecular dynamic calculations of a decomposition reaction of formic acid on titanium oxide, with the structures of various intermediate forms
(collaboration with The University of Tokyo)

High-precision electronic state computing
-Electron correlation-
The density functional method is extremely effective and widely used. Because it generally uses local density approximation, however, this method is unable to address some problems of electronic correlation. This shortcoming introduces many qualitative and quantitative problems into the results of calculation of such practically important features as luminescence characteristics, light-absorption, band gap and magnetic field. We are currently developing a theoretical method for these problems of electronic correlation. The required computing time is still too long as a practical computing technique, but we have already been able to reproduce some important experimental values using this approach. The method has proven an important tool in running computer simulations of the electronic and optical properties in the fields of strongly correlated electronic system, spin electronics and optoelectronics.

Molecular dynamics simulations
To create organic field-effect transistors (FETs) and molecular sensors, the molecules must first be lined up on the surface in a certain pattern. One method of doing this is to make the molecules line up automatically by self-organization. Such methods have been developed in areas of "wet chemistry" such as supramolecular chemistry. It is, however, difficult to know what structures are obtained from what molecular structures. In this case, molecular dynamics is applied to predict structures and functions of the resulting aggregations. To apply classical molecular dynamic to structural prediction, however, several problems must first be solved; sufficiently accurate intermolecular forces must be obtained. Efficient sampling methods are required. And the accurate time-integration method for a long-time calculation must be developed. The Institute was able to use these methods to develop high-speed, high-precision code. Figure 2 illustrates an example in which this code was applied: a description of the dynamics of different molecule transportation in lipid bilayers. Using these technologies for the molecular assemblies, we are collaborating with experiment groups with the aim of developing systems for the design of nanostructures.

Figure 2
Figure 2. Simulation of molecular dynamics in the transport of water molecules through a lipid bilayer
Several water molecules were placed in hydrocarbon (central area of cell) and the path of their diffusion to the surrounding water is indicated in colored lines. Diffusion was rapid through the film formed with DPPC, which has no side chain, but slow through DphPC, which has side chains. (Collaboration with the Nanotechnology Research Institute)

Nanoscale conductance
Thanks to the development of atomic and molecular processing technologies such as semiconductor micromachining, researchers have been able to produce a wide variety of nanoscale structures. In the field of nanoscale electronic devices, electrical conductance has revealed in some materials a number of unique behaviors that could not be discovered using electron-state computing alone. For example, unlike ordinary copper wires, carbon nanotubes are predicted in theoretical simulations to display the behavior of an electrical wire with a kind of no electrical resistance. In recent experiments, carbon nanotubes have been observed to demonstrate a "ballistic" conductance, and this theoretical prediction has since been confirmed. In the nanosclaes a quantum interference effect is expected to exert an important influence on electrical conductance, as explained here. We developed a theoretical simulation methods that fuses the appropriate modeling with electronic state computing. In future efforts, we intend to develop this theory into a form of circuit-design CAD that we expect will prove important in opening up the field of nanoelectronics.

Continuum simulation
If we apply the term “nanoscale” a little large system where atomic and molecular interactions are replaced by a mean field, we can use the method of calculating continuum media. Examples include the phase field method and vertex model, which are used in computing the organization in metals and ceramics. If we “zoom out” a little further, in simulations of microscopic electronic machines (MEMs) and the machines to construct nanostructures, simulations of continua in solid and fluid mechanics become most useful. In these microscopic domains, however, computing requirements are usually too rigorous to be handled by commercially available software. For example, in the super-inkjet now being developed by the Nanotechnology Research Institute, the problem of high-speed two-phase flow occurs when the ink is ejected from the nozzle. Our Institute have developed an alternative solution; A shown in Figure 3, the simulation impact spot of the ink droplets closely matches the actual experimental results.

Figure 3
Figure 3. Finite-element computation using a new stabilization method and the VOF method for eject and impact of ink from the inkjet nozzle
(This simulation matched closely with the experimental results on formation of piezoelectric devices using the inkjet. Collaboration with the Nanotechnology Research Institute and Smart Structure Research Center)

Toward original softwares
Recent versions of commercially available software, and even freeware and shareware, can perform surprisingly accurate simulations. In this paper, I have described the motives behind some of the new computational methods being developed and how they are intended to be used. Most of the commercial software available now was once developed in similar ways. The computing methods I have described will probably be incorporated into commercial software packages or be marketed as stand-alone applications.



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