Large-scale electronic structure theory for simulating nanostructure process

Details Large-scale electronic structure theory for simulating nanostructure process Large-scale electronic structure theory for simulating nanostructure process

2006-10-20

arxiv.org/abs/cond-mat/0610563v1

J. Phys.: Condens. Matter 18 (2006) 10787-10802

Physics

Condensed Matter

Materials Science

19 pages, 6 figures. To appear in J. Phys. Cond. Matt. A preprint PDF file in better graphics is available at http://fujimac

Scientific paper

10.1088/0953-8984/18/48/006

Fundamental theories and practical methods for large-scale electronic structure calculations are given, in which the computational cost is proportional to the system size. Accuracy controlling methods for microscopic freedoms are focused on two practical solver methods, Krylov-subspace method and generalized-Wannier-state method. A general theory called the 'multi-solver' scheme is also formulated, as a hybrid between different solver methods. Practical examples are carried out in several insulating and metallic systems with 10^3-10^5 atoms. All the theories provide general guiding principles of constructing an optimal calculation for simulating nanostructure processes, since a nanostructured system consists of several competitive regions, such as bulk and surface regions, and the simulation is designed to reproduce the competition with an optimal computational cost.

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