Algorithmic Matsubara integration for Hubbard-like models

Amir Taheridehkordi, S. H. Curnoe, and J. P. F. LeBlanc
Phys. Rev. B 99, 035120 – Published 10 January 2019
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Abstract

We present an algorithm to evaluate Matsubara sums for Feynman diagrams composed of bare Green's functions with single-band dispersions and 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 μ, 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. This method can also be used to simultaneously evaluate diagrams throughout the entire TUμ phase space of Hubbard-like models even in the T=0 limit at minimal computational expense.

  • Figure
  • Received 20 September 2018
  • Revised 18 December 2018

DOI:https://doi.org/10.1103/PhysRevB.99.035120

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

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

  • Department of Physics and Physical Oceanography, Memorial University of Newfoundland, St. John's, Newfoundland and Labrador, Canada A1B 3X7

  • *jleblanc@mun.ca

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Issue

Vol. 99, Iss. 3 — 15 January 2019

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