Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model

T Schäfer, N Wentzell, F Šimkovic IV, YY He, C Hille… - Physical Review X, 2021 - APS
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

Dynamic response of an electron gas: Towards the exact exchange-correlation kernel

JPF LeBlanc, K Chen, K Haule, NV Prokof'ev… - Physical review …, 2022 - APS
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 …

Determinant diagrammatic Monte Carlo algorithm in the thermodynamic limit

R Rossi - Physical review letters, 2017 - APS
We present a simple trick that allows us to consider the sum of all connected Feynman
diagrams at fixed position of interaction vertices for general fermionic models, such that the …

Sign problem in quantum monte carlo simulation

G Pan, ZY Meng - arxiv preprint arxiv:2204.08777, 2022 - arxiv.org
Sign problem in quantum Monte Carlo (QMC) simulation appears to be an extremely hard
yet interesting problem. In this article, we present a pedagogical overview on the origin of …

Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions

R Rossi, T Ohgoe, K Van Houcke, F Werner - Physical Review Letters, 2018 - APS
We demonstrate that a summing up series of Feynman diagrams can yield unbiased
accurate results for strongly correlated fermions even when the convergence radius …

Defining a universal sign to strictly probe a phase transition

N Ma, JS Sun, G Pan, C Cheng, Z Yan - Physical Review B, 2024 - APS
The mystery of the infamous sign problem in quantum Monte Carlo simulations mightily
restricts applications of the method in fermionic and frustrated systems. A recent work …

Fermion sign bounds theory in quantum monte carlo simulation

X Zhang, G Pan, XY Xu, ZY Meng - Physical Review B, 2022 - APS
Sign problems in fermion quantum Monte Carlo (QMC) simulation appears to be an
extremely hard problem. Traditional lore passing around for years tells people that when …

Determinant Monte Carlo for irreducible Feynman diagrams in the strongly correlated regime

F Šimkovic IV, E Kozik - Physical Review B, 2019 - APS
We develop a numerically exact method for the summation of irreducible Feynman diagrams
for fermionic self-energy in the thermodynamic limit. The technique, based on the …