SciPost Physics

SciPost Phys. 8, 012 (2020) · published 28 January 2020

• doi: 10.21468/SciPostPhys.8.1.012
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

Many-body calculations at the two-particle level require a compact representation of two-particle Green's functions. In this paper, we introduce a sparse sampling scheme in the Matsubara frequency domain as well as a tensor network representation for two-particle Green's functions. The sparse sampling is based on the intermediate representation basis and allows an accurate extraction of the generalized susceptibility from a reduced set of Matsubara frequencies. The tensor network representation provides a system independent way to compress the information carried by two-particle Green's functions. We demonstrate efficiency of the present scheme for calculations of static and dynamic susceptibilities in single- and two-band Hubbard models in the framework of dynamical mean-field theory.

• Worm et al., Broadening and sharpening of the Drude peak through antiferromagnetic fluctuations
  Phys. Rev. B 104, 115153 (2021) [Crossref]
• Kaye et al., Discrete Lehmann representation of imaginary time Green's functions
  Phys. Rev. B 105, 235115 (2022) [Crossref]
• Shinaoka et al., DCore: Integrated DMFT software for correlated electrons
  SciPost Phys. 10, 117 (2021) [Crossref]
• Wallerberger et al., sparse-ir: Optimal compression and sparse sampling of many-body propagators
  SoftwareX 21, 101266 101266 (2023) [Crossref]
• Kitatani et al., Strongly correlated superconductivity with long-range spatial fluctuations
  J. Phys. Mater. 5, 034005 (2022) [Crossref]
• Otsuki et al., Multipolar ordering from dynamical mean field theory with application to CeB6
  Phys. Rev. B 110, 035104 (2024) [Crossref]
• Kugler et al., Multipoint Correlation Functions: Spectral Representation and Numerical Evaluation
  Phys. Rev. X 11, 041006 (2021) [Crossref]
• Shinaoka et al., Multiscale Space-Time Ansatz for Correlation Functions of Quantum Systems Based on Quantics Tensor Trains
  Phys. Rev. X 13, 021015 (2023) [Crossref]
• Moghadas et al., Compressing the two-particle Green’s function using wavelets: Theory and application to the Hubbard atom
  Eur. Phys. J. Plus 139, 700 (2024) [Crossref]
• Fotso et al., Beyond quantum cluster theories: multiscale approaches for strongly correlated systems
  Quantum Sci. Technol. 7, 033001 (2022) [Crossref]
• Stepanov et al., Charge density wave ordering in NdNiO2: effects of multiorbital nonlocal correlations
  npj Comput Mater 10, 108 (2024) [Crossref]
• Niyazi et al., Dynamical response and competing orders in two-band Hubbard model
  Phys. Rev. B 102, 085159 (2020) [Crossref]
• Wallerberger et al., Solving the Bethe-Salpeter equation with exponential convergence
  Phys. Rev. Research 3, 033168 (2021) [Crossref]
• Ge et al., Real-frequency quantum field theory applied to the single-impurity Anderson model
  Phys. Rev. B 109, 115128 (2024) [Crossref]
• Kappl et al., Statistical error estimates in dynamical mean-field theory and extensions thereof
  Phys. Rev. B 102, 085124 (2020) [Crossref]
• Shinaoka et al., Efficient ab initio many-body calculations based on sparse modeling of Matsubara Green's function
  SciPost Phys. Lect. Notes, 63 (2022) [Crossref]
• Niyazi et al., Antiferromagnetic magnons and local anisotropy: Dynamical mean-field study
  Phys. Rev. B 104, 075152 (2021) [Crossref]
• Mizuno et al., Simplification of the Local Full Vertex in the Impurity Problem in DMFT and Its Applications for the Nonlocal Correlation
  J. Phys. Soc. Jpn. 91, 034002 (2022) [Crossref]