Computing the real-time Green's Functions of large Hamiltonian matrices

Details Computing the real-time Green's Functions of large Hamiltonian matrices Computing the real-time Green's Functions of large Hamiltonian matrices

1998-02-11

arxiv.org/abs/physics/9802021v2

High Performance Computing in RIKEN 1995 (ISSN-1342-3428), 241--247 (1996)

Physics

Computational Physics

7 pages, 4 figures, more information including FORTRAN programs at http://www.riken.go.jp/lab-www/nanoelectronics/iitaka/

Scientific paper

A numerical method is developed for calculating the real time Green's functions of very large sparse Hamiltonian matrices, which exploits the numerical solution of the inhomogeneous time-dependent Schroedinger equation. The method has a clear-cut structure reflecting the most naive definition of the Green's functions, and is very suitable to parallel and vector supercomputers. The effectiveness of the method is illustrated by applying it to simple lattice models. An application of this method to condensed matter physics will be found in H. Tanaka, Phys. PRB 57, 2168 (1998).

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