King's College London

Research portal

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
Volume100
Issue number12
Publication statusPublished - 4 Sep 2019

Links

King's Authors

Abstract

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.

View graph of relations

© 2018 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454