3 years ago

# Algorithmic Matsubara Integration for Hubbard-like models.

Amir Taheridehkordi, S. H. Curnoe, J. P. F. LeBlanc

We present an algorithm to evaluate Matsubara sums for Feynman diagrams comprised of bare Green's functions with single-band dispersions with local U Hubbard interaction vertices. The algorithm provides an exact construction of the analytic result for the frequency integrals of a diagram that can then be evaluated for all parameters $U$, temperature $T$, chemical potential $\mu$, external frequencies and internal/external momenta. This method allows for symbolic analytic continuation of results to the real frequency axis, avoiding any ill-posed numerical procedure. When combined with diagrammatic Monte-Carlo, this method can be used to simultaneously evaluate diagrams throughout the entire $T-U-\mu$ phase space of Hubbard-like models at minimal computational expense.

Publisher URL: http://arxiv.org/abs/1808.05188

DOI: arXiv:1808.05188v1

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