SciPost Physics

SciPost Phys. 13, 036 (2022) · published 26 August 2022

• doi: 10.21468/SciPostPhys.13.2.036
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

We present the multi-band dual triply irreducible local expansion (D-TRILEX) approach to interacting electronic systems and discuss its numerical implementation. This method is designed for a self-consistent description of multi-orbital systems that can also have several atoms in the unit cell. The current implementation of the D-TRILEX approach is able to account for the frequency- and channel-dependent long-ranged electronic interactions. We show that our method is accurate when applied to small multi-band systems such as the Hubbard-Kanamori dimer. Calculations for the extended Hubbard, the two-orbital Hubbard-Kanamori, and the bilayer Hubbard models are also discussed.

• Vandelli et al., Extended regime of metastable metallic and insulating phases in a two-orbital electronic system
  Phys. Rev. Research 5, L022016 (2023) [Crossref]
• Szilva et al., Quantitative theory of magnetic interactions in solids
  Rev. Mod. Phys. 95, 035004 (2023) [Crossref]
• Vandelli et al., Doping-dependent charge- and spin-density wave orderings in a monolayer of Pb adatoms on Si(111)
  npj Quantum Mater. 9, 19 (2024) [Crossref]
• Linnér et al., Multichannel fluctuating field approach to competing instabilities in interacting electronic systems
  Phys. Rev. B 108, 035143 (2023) [Crossref]
• Lyakhova et al., Mean-field concept and post-DMFT methods in the modern theory of correlated systems
  Успехи физических наук, 825 (2023) [Crossref]
• Lyakhova et al., Mean-field concept and post-DMFT methods in the modern theory of correlated systems
  Phys. Usp. 66, 775 (2023) [Crossref]
• Stepanov et al., Coexisting charge density wave and ferromagnetic instabilities in monolayer InSe
  npj Comput Mater 8, 118 (2022) [Crossref]
• Zantout et al., Improved effective vertices in the multiorbital two-particle self-consistent method from dynamical mean-field theory
  Phys. Rev. B 107, 235101 (2023) [Crossref]