Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-02-20
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 4 figures
Scientific paper
We explains the shifted COCG method which can solve a series of the linear equations generated by numbers of scaler shifts, without time consuming matrix-vector operations, except at the only one reference energy. This is a family of the CG method and sharing the robustness and the capability of the accuracy estimation. Then shifted COCG is quite useful to calculate the Green's function of the many-electron Hamiltonian which have very large dimension. We applied it to the double orbital extended Hubbard model with twelve electrons on the periodic sqrt(8) x sqrt(8) site system, the dimension of the Hamiltonian equals to 64,128,064, and found the ground state is insulator. We also explained the crucial points of the shifted COCG algorithm for reducing the amount of required memory.
Fujiwara Takeo
Hoshi Takeo
Sogabe Tomohiro
Yamamoto Susumu
Zhang Shao-Liang
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