34 citations · 50 across the 3 of their papers we have counts for
9 papers
Statistical error estimates in dynamical mean-field theory and extensions thereof
Patrick Kappl, Markus Wallerberger, Josef Kaufmann +2
We employ the jackknife algorithm to analyze the propagation of the statistical quantum Monte Carlo error through the Bethe--Salpeter equation. This allows us to estimate the error…
Diagrammatic Monte Carlo Method for Impurity Models with General Interactions and Hybridizations
Jia Li, Markus Wallerberger, Emanuel Gull
We present a diagrammatic Monte Carlo method for quantum impurity problems with general interactions and general hybridization functions. Our method uses a recursive determinant sc…
Sparse sampling and tensor network representation of two-particle Green's functions
Hiroshi Shinaoka, Dominique Geffroy, Markus Wallerberger +4
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 Mat…
Sparse sampling approach to efficient ab initio calculations at finite temperature
Jia Li, Markus Wallerberger, Naoya Chikano +3
Efficient ab initio calculations of correlated materials at finite temperature require compact representations of the Green's functions both in imaginary time and Matsubara frequen…
Efficient estimation of autocorrelation spectra
Markus Wallerberger
The performance of Markov chain Monte Carlo calculations is determined by both ensemble variance of the Monte Carlo estimator and autocorrelation of the Markov process. In order to…
State- and superstate-sampling in hybridization-expansion continuous-time quantum Monte Carlo
Alexander Kowalski, Andreas Hausoel, Markus Wallerberger +2
Due to the intrinsic complexity of the quantum many-body problem, quantum Monte Carlo algorithms and their corresponding Monte Carlo configurations can be defined in various ways.…