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Determinant Monte Carlo for irreducible Feynman diagrams in the strongly correlated regime

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)121102(R)
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
Publication statusPublished - 4 Sep 2019


King's Authors


We develop a numerically exact method for the summation of irreducible Feynman diagrams for fermionic self-energy in the thermodynamic limit. The technique, based on the Diagrammatic Determinant Monte Carlo and its recent extension to connected diagrams, allows us to reach high (~10) orders of the weak-coupling expansion for the self-energy of the two-dimensional Hubbard model. Access to high orders reveals a non-trivial analytic structure of the self-energy and enables its controlled reconstruction with arbitrary momentum resolution in the nonperturbative regime of essentially strong correlations, which has recently been reached with ultracold atoms in optical lattices.

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