Fully self-consistent finite-temperature in Gaussian Bloch orbitals for solids

CN Yeh, S Iskakov, D Zgid, E Gull - Physical Review B, 2022 - APS
We present algorithmic and implementation details for the fully self-consistent finite-
temperature GW method in Gaussian Bloch orbitals for solids. Our implementation is based …

Stochastic vector techniques in ground-state electronic structure

R Baer, D Neuhauser, E Rabani - Annual Review of Physical …, 2022 - annualreviews.org
We review a suite of stochastic vector computational approaches for studying the electronic
structure of extended condensed matter systems. These techniques help reduce algorithmic …

Comparing Self-Consistent GW and Vertex-Corrected G0W0 (G0W0Γ) Accuracy for Molecular Ionization Potentials

M Wen, V Abraham, G Harsha, A Shee… - Journal of Chemical …, 2024 - ACS Publications
We test the performance of self-consistent GW and several representative implementations
of vertex-corrected G 0 W 0 (G 0 W 0Γ). These approaches are tested on benchmark data …

Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains

H Shinaoka, M Wallerberger, Y Murakami, K Nogaki… - Physical Review X, 2023 - APS
The correlation functions of quantum systems—central objects in quantum field theories—
are defined in high-dimensional space-time domains. Their numerical treatment thus suffers …

Sparse modeling in quantum many-body problems

J Otsuki, M Ohzeki, H Shinaoka… - journal of the physical …, 2020 - journals.jps.jp
This review paper describes the basic concept and technical details of sparse modeling and
its applications to quantum many-body problems. Sparse modeling refers to methodologies …

Sparse sampling approach to efficient ab initio calculations at finite temperature

J Li, M Wallerberger, N Chikano, CN Yeh, E Gull… - Physical Review B, 2020 - APS
Efficient ab initio calculations of correlated materials at finite temperatures require compact
representations of the Green's functions both in imaginary time and in Matsubara frequency …

Low-order scaling quasiparticle self-consistent GW for molecules

A Förster, L Visscher - Frontiers in Chemistry, 2021 - frontiersin.org
Low-order scaling GW implementations for molecules are usually restricted to
approximations with diagonal self-energy. Here, we present an all-electron implementation …

Discrete Lehmann representation of imaginary time Green's functions

J Kaye, K Chen, O Parcollet - Physical Review B, 2022 - APS
We present an efficient basis for imaginary time Green's functions based on a low-rank
decomposition of the spectral Lehmann representation. The basis functions are simply a set …

Minimal pole representation and controlled analytic continuation of Matsubara response functions

L Zhang, E Gull - Physical Review B, 2024 - APS
Analytic continuation is a central step in the simulation of finite-temperature field theories in
which numerically obtained Matsubara data are continued to the real frequency axis for a …

Self-energy embedding theory (SEET) for periodic systems

AA Rusakov, S Iskakov, LN Tran… - Journal of chemical theory …, 2018 - ACS Publications
We present an implementation of the self-energy embedding theory (SEET) for periodic
systems and provide a fully self-consistent embedding solution for a simple realistic periodic …