Causal versus local $GW$+EDMFT scheme and application to the triangular-lattice extended Hubbard model

Abstract

Using the triangular-lattice extended Hubbard model as a test system, we compare $GW$+EDMFT results for the recently proposed self-consistency scheme with causal auxiliary fields to those obtained from the standard implementation which identifies the impurity Green's functions with the corresponding local lattice Green's functions. Both for short-ranged and long-ranged interactions we find similar results, but the causal scheme yields slightly stronger correlation effects at half-filling. We use the two implementations of $GW$+EDMFT to compute spectral functions and dynamically screened interactions in the parameter regime relevant for 1$T$-TaS${}_2$. We address the question whether or not the sample used in a recent photoemission study [Phys. Rev. Lett. 120, 166401 (2018)] was half-filled or hole-doped.

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Cited by in corpus (8)

• Mott versus hybridization gap in the low-temperature phase of $1T$-TaS${}_2$
• Photo-induced nonequilibrium states in Mott insulators
• Photo-induced charge dynamics in 1$T$-TaS${}_2$
• Doping a Wigner-Mott insulator: Exotic charge orders in transition-metal dichalcogenide moiré heterobilayers
• Non-local Correlation Effects in Fermionic Many-Body Systems: Overcoming the Non-causality Problem
• Magnetism and superconductivity in doped triangular-lattice Mott insulators
• Measuring the ultrafast screening of $U$ in photo-excited charge-transfer insulators with time-resolved X-ray absorption spectroscopy
• Dual-space cluster-diagrammatic approach to nonlocal electronic correlations