The Hubbard model: A computational perspective
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …
importance to correlated electron physics as the Ising model is to statistical mechanics or the …
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 …
Origin and fate of the pseudogap in the doped Hubbard model
The relationship between the pseudogap and underlying ground-state phases has not yet
been rigorously established. We investigated the doped two-dimensional Hubbard model at …
been rigorously established. We investigated the doped two-dimensional Hubbard model at …
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 …
Effects of strong electronic interactions on the thermopower properties of the repulsive Hubbard model
We obtain the Seebeck coefficient or thermopower S, which determines the conversion
efficiency from thermal to electrical energy, for the two-dimensional Hubbard model on …
efficiency from thermal to electrical energy, for the two-dimensional Hubbard model on …
Renormalized perturbation theory at large expansion orders
We present a general formalism that allows for the computation of large-order renormalized
expansions, effectively doubling the numerically attainable perturbation order of …
expansions, effectively doubling the numerically attainable perturbation order of …
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 …
Combinatorial summation of Feynman diagrams
E Kozik - Nature Communications, 2024 - nature.com
Feynman's diagrammatic series is a common language for a formally exact theoretical
description of systems of infinitely-many interacting quantum particles, as well as a …
description of systems of infinitely-many interacting quantum particles, as well as a …
Analytical solution for time integrals in diagrammatic expansions: Application to real-frequency diagrammatic Monte Carlo
Recent years have seen a revived interest in the diagrammatic Monte Carlo (DiagMC)
methods for interacting fermions on a lattice. A promising recent development allows one to …
methods for interacting fermions on a lattice. A promising recent development allows one to …
Combinatorial summation of Feynman diagrams: Equation of state of the 2D SU (N) Hubbard model
E Kozik - arxiv preprint arxiv:2309.13774, 2023 - arxiv.org
We introduce a universal framework for efficient summation of connected or skeleton
Feynman diagrams for generic quantum many-body systems. It is based on explicit …
Feynman diagrams for generic quantum many-body systems. It is based on explicit …