Homotopic action: A pathway to convergent diagrammatic theories
The major obstacle preventing Feynman diagrammatic expansions from accurately solving
many-fermion systems in strongly correlated regimes is the series slow convergence or …
many-fermion systems in strongly correlated regimes is the series slow convergence or …
Feynman diagrammatics based on discrete pole representations: A path to renormalized perturbation theories
By merging algorithmic Matsubara integration with discrete pole representations we present
a procedure to generate fully analytic closed form results for impurity problems at fixed …
a procedure to generate fully analytic closed form results for impurity problems at fixed …
Renormalized perturbation theory for fast evaluation of Feynman diagrams on the real frequency axis
We present a method to accelerate the numerical evaluation of spatial integrals of Feynman
diagrams when expressed on the real frequency axis. This can be realized through use of a …
diagrams when expressed on the real frequency axis. This can be realized through use of a …
Evaluating second-order phase transitions with diagrammatic Monte Carlo: Néel transition in the doped three-dimensional Hubbard model
Diagrammatic Monte Carlo—the technique for the numerically exact summation of all
Feynman diagrams to high orders—offers a unique unbiased probe of continuous phase …
Feynman diagrams to high orders—offers a unique unbiased probe of continuous phase …
Single particle properties of the two-dimensional Hubbard model for real frequencies at weak coupling: Breakdown of the Dyson series for partial self-energy …
We generate the perturbative expansion of the single particle Green's function and related
self-energy for a half-filled single-band Hubbard model on a square lattice. We invoke …
self-energy for a half-filled single-band Hubbard model on a square lattice. We invoke …
Symbolic determinant construction of perturbative expansions
We present a symbolic algorithm for the fully analytic treatment of perturbative expansions of
Hamiltonians with general two-body interactions. The method merges well-known analytics …
Hamiltonians with general two-body interactions. The method merges well-known analytics …
LIBAMI: Implementation of algorithmic Matsubara integration
We present libami, a lightweight implementation of algorithmic Matsubara integration (AMI)
written in C++. AMI is a tool for analytically resolving the sequence of nested Matsubara …
written in C++. AMI is a tool for analytically resolving the sequence of nested Matsubara …
Fast principal minor algorithms for diagrammatic Monte Carlo
FŠ IV, M Ferrero - Physical Review B, 2022 - APS
The computation of determinants plays a central role in diagrammatic Monte Carlo
algorithms for strongly correlated systems. The evaluation of large numbers of determinants …
algorithms for strongly correlated systems. The evaluation of large numbers of determinants …
Unsupervised learning of effective quantum impurity models
Generalized quantum impurity models—which feature a few localized and strongly
correlated degrees of freedom coupled to itinerant conduction electrons—describe diverse …
correlated degrees of freedom coupled to itinerant conduction electrons—describe diverse …
Unsupervised Model Learning for Quantum Impurity Systems
Generalized quantum impurity models--which feature a few localized and strongly-
correlated degrees of freedom coupled to itinerant conduction electrons--describe diverse …
correlated degrees of freedom coupled to itinerant conduction electrons--describe diverse …