Adaptive Anderson mixing for electronic structure calculations

M Novák, J Vackář, R Cimrman, O Šipr - Computer Physics …, 2023 - Elsevier
Convergence rates of iterative algorithms for solving non-linear fixed-point (or root-finding)
problems depend on the quality of the solution guess done in each iteration, which is used …

Electronic structure and photoconductivity properties of GaP under high pressure

Y Li, Y Li, Q Zhang, X Liu, N Xiao, P Ning… - Journal of Materials …, 2023 - Springer
As a typical representative of Ga-based III-V compound semiconductor material, the
pressure-induced structural phase transition of gallium phosphide (GaP) has received more …

Predictive mixing for density functional theory (and other fixed-point problems)

LD Marks - Journal of Chemical Theory and Computation, 2021 - ACS Publications
Density functional theory calculations use a significant fraction of current supercomputing
time. The resources required scale with the problem size, the internal workings of the code …

A robust and efficient line search for self-consistent field iterations

MF Herbst, A Levitt - Journal of Computational Physics, 2022 - Elsevier
We propose a novel adaptive damping algorithm for the self-consistent field (SCF) iterations
of Kohn-Sham density-functional theory, using a backtracking line search to automatically …

Phonons from density-functional perturbation theory using the all-electron full-potential linearized augmented plane-wave method FLEUR

CR Gerhorst, A Neukirchen, DA Klüppelberg… - Electronic …, 2024 - iopscience.iop.org
Phonons are quantized vibrations of a crystal lattice that play a crucial role in understanding
many properties of solids. Density functional theory provides a state-of-the-art computational …

An adaptive preconditioning scheme for the self-consistent field iteration and generalized stacking fault energy calculations

S Zhang, X Gao, H Song, B Wen - Computer Physics Communications, 2024 - Elsevier
The generalized stacking fault energy (GSFE) stands as a fundamental yet pivotal parameter
for the plastic deformation of materials. In our investigation, we conduct first-principles …

Solution to the modified Helmholtz equation for arbitrary periodic charge densities

M Winkelmann, E Di Napoli, D Wortmann… - Frontiers in …, 2021 - frontiersin.org
We present a general method for solving the modified Helmholtz equation without shape
approximation for an arbitrary periodic charge distribution, whose solution is known as the …

Resta-like preconditioning for self-consistent field iterations in the linearized augmented planewave method

J Kim, MM May - Electronic Structure, 2022 - iopscience.iop.org
Convergence in self-consistent-field cycles can be a major computational bottleneck of
density-functional theory calculations. We propose a Resta-like preconditioning method for …

Taming the Inverse and Forward Problems in Density Functional Theory

N Woods - 2022 - repository.cam.ac.uk
Theforward problem'of ground-state density functional theory (DFT) constitutes finding the
ground-state density n (x) that minimises a Kohn-Sham total energy functional defined using …