A Nonperturbative Approach to One-Particle Green's Function

Details A Nonperturbative Approach to One-Particle Green's Function A Nonperturbative Approach to One-Particle Green's Function

1997-09-08

arxiv.org/abs/cond-mat/9709087v1

Physics

Condensed Matter

Strongly Correlated Electrons

4pages, 4figures

Scientific paper

A nonperturbative method to obtain on- and off-site one-particle Green's function is introduced and applied to noninteracting Hubbard model with next nearest neighbor hopping and interacting Hubbard model in large dimensions, for example. The former gives some lessons on the method and shows the advantage of the method compared with continued fraction formalism. The latter is treated by selecting important dynamic processes contributing to the Green's function when correlation is strong. We consider the model in the Bethe lattice with large connectivity. The dynamic processes describing on-site spin fluctuation clearly shows metal-insulator transition in the paramagnetic ground state at half filling.

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