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Nonlocal Corrections to Dynamical Mean-field Theory from the Two-particle Self-consistent Method by Martin, N.; Gauvin-Ndiaye, C.; Tremblay, A. -M. S. is a scholarly article available to read on EtoBox.

What is Nonlocal Corrections to Dynamical Mean-field Theory from the Two-particle Self-consistent Method about?

Theoretical methods that are accurate for both short-distance observables and long-wavelength collective modes are still being developed for the Hubbard model. Here, we benchmark an approach that combines dynamical mean-field theory (DMFT) observables with the two-particle self-consistent theory (TPSC). This offers a way to include non-local correlations in DMFT while also improving TPSC. The benchmarks are published diagrammatic quantum Monte Carlo results for the two-dimensional square lattice Hubbard model with nearest-neighbor hopping. This method (TPSC+DMFT) is relevant for weak to intermediate interaction, satisfies the local Pauli principle and allows us to compute a spin susceptibility that satisfies the Mermin-Wagner theorem. The DMFT double occupancy determines the spin and charge vertices through local spin and charge sum rules. The TPSC self-energy is also improved by replacing its local part with the local DMFT self-energy. With this method, we find improvements for both spin and charge fluctuations and for the self-energy. We also find that the accuracy check developed for TPSC is a good predictor of deviations from benchmarks for this model. TPSC+DMFT can be used in

Author

Martin, N.; Gauvin-Ndiaye, C.; Tremblay, A. -M. S.

Published

2022

Language

EN