Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

The recent discovery of superconductivity in La 3 Ni 2 O 7 with T c≃ 80 K under high
pressure opens up a new route to high-T c superconductivity. This material realizes a bilayer …

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 …

Simulations of finite temperature quantum systems provide imaginary frequency Green's
functions that correspond one to one to experimentally measurable real-frequency spectral …

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 …

Finite-temperature quantum field theories are formulated in terms of Green's functions and
self-energies on the Matsubara axis. In multiorbital systems, these quantities are related to …

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 …

Green's functions of fermions are described by matrix-valued Herglotz-Nevanlinna functions.
Since analytic continuation is fundamentally an ill-posed problem, the causal space …

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 GW implementations for molecules are usually restricted to
approximations with diagonal self-energy. Here, we present an all-electron implementation …