Improved Treatment of Frequency Sums in Propagator-Renormalized Perturbation Theories

Details Improved Treatment of Frequency Sums in Propagator-Renormalized Perturbation Theories Improved Treatment of Frequency Sums in Propagator-Renormalized Perturbation Theories

1994-11-04

arxiv.org/abs/cond-mat/9411026v1

Physics

Condensed Matter

To appear in "Recent Progress In Many Body Theories", vol. 4, edited by E. Schachinger, et al. (Plenum, New York). 10 Latex pa

Scientific paper

We present a massively parallel algorithm for calculating the self-energy in self-consistent finite temperature perturbation theory for lattice models. The algorithm uses analytic functions with appropriate asymptotic high frequency behavior and fast Fourier transforms to accurately calculate the self-energy at low-frequency. Traditional methods that truncate the high frequency tails of the temperature Green's function lead to `contamination' of the low-frequency behavior of the self-energy. Our algorithm is both accurate and scalable. We compare results for the Hubbard model using various techniques for handling the high frequency tails of the temperature Green's function.

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