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Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …
Dynamic response of an electron gas: Towards the exact exchange-correlation kernel
Precise calculations of dynamics in the homogeneous electron gas (jellium model) are of
fundamental importance for design and characterization of new materials. We introduce a …
fundamental importance for design and characterization of new materials. We introduce a …
Two-dimensional Hubbard model at finite temperature: Weak, strong, and long correlation regimes
We investigate the momentum-resolved spin and charge susceptibilities, as well as the
chemical potential and double occupancy in the two-dimensional Hubbard model as …
chemical potential and double occupancy in the two-dimensional Hubbard model as …
Discrete Lehmann representation of three-point functions
We present a generalization of the discrete Lehmann representation (DLR) to three-point
correlation and vertex functions in imaginary time and Matsubara frequency. The …
correlation and vertex functions in imaginary time and Matsubara frequency. The …
Exchange-correlation effect in the charge response of a warm dense electron gas
The study of warm dense matter, widely existing in nature and laboratories, is challenging
due to the interplay of quantum and classical fluctuations. We develop a variational …
due to the interplay of quantum and classical fluctuations. We develop a variational …
Charge transport in the Hubbard model at high temperatures: Triangular versus square lattice
High-temperature bad-metal transport has been recently studied both theoretically and in
experiments as one of the key signatures of strong electronic correlations. Here we use the …
experiments as one of the key signatures of strong electronic correlations. Here we use the …
Real-frequency quantum field theory applied to the single-impurity Anderson model
A major challenge in the field of correlated electrons is the computation of dynamical
correlation functions. For comparisons with experiment, one is interested in their real …
correlation functions. For comparisons with experiment, one is interested in their real …
Algorithmic approach to diagrammatic expansions for real-frequency evaluation of susceptibility functions
We systematically generate the perturbative expansion for the two-particle spin susceptibility
in the Feynman diagrammatic formalism and apply this expansion to a model system—the …
in the Feynman diagrammatic formalism and apply this expansion to a model system—the …
Analytic continuation of multipoint correlation functions
Conceptually, the Matsubara formalism (MF), using imaginary frequencies, and the Keldysh
formalism (KF), formulated in real frequencies, give equivalent results for systems in thermal …
formalism (KF), formulated in real frequencies, give equivalent results for systems in thermal …
Conductivity in the square lattice Hubbard model at high temperatures: Importance of vertex corrections
Recent experiments on cold atoms in optical lattices allow for a quantitative comparison of
the measurements to the conductivity calculations in the square lattice Hubbard model …
the measurements to the conductivity calculations in the square lattice Hubbard model …