Approximating the ground state of fermion system by multiple determinant states: matching pursuit approach

Details Approximating the ground state of fermion system by multiple determinant states: matching pursuit approach Approximating the ground state of fermion system by multiple determinant states: matching pursuit approach

2008-02-13

arxiv.org/abs/0802.1763v1

Phys. Rev. E 77, 026705 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

5 Pages, 1 figure

Scientific paper

10.1103/PhysRevE.77.026705

We present a simple and stable numerical method to approximate the ground state of a quantum many-body system by multiple determinant states. This method searches these determinant states one by one according to the matching pursuit algorithm. The first determinant state is identical to that of the Hartree-Fock theory. Calculations for two-dimensional Hubbard model serve as a demonstration.

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