Quantum Monte Carlo simulations of solids

WMC Foulkes, L Mitas, RJ Needs, G Rajagopal - Reviews of Modern Physics, 2001 - APS
This article describes the variational and fixed-node diffusion quantum Monte Carlo methods
and how they may be used to calculate the properties of many-electron systems. These …

Continuum variational and diffusion quantum Monte Carlo calculations

RJ Needs, MD Towler, ND Drummond… - Journal of Physics …, 2009 - iopscience.iop.org
This topical review describes the methodology of continuum variational and diffusion
quantum Monte Carlo calculations. These stochastic methods are based on many-body …

The first-principles phase diagram of monolayer nanoconfined water

V Kapil, C Schran, A Zen, J Chen, CJ Pickard… - Nature, 2022 - nature.com
Water in nanoscale cavities is ubiquitous and of central importance to everyday phenomena
in geology and biology. However, the properties of nanoscale water can be substantially …

[BOOK][B] Monte Carlo Methods In Ab Initio Quantum Chemistry

BL Hammond, WA Lester Jr, PJ Reynolds - 1994 - World Scientific
The following sections are included: Random Numbers and Statistical Analysis Probability
density and distribution functions Characterization of probability density functions Functions …

QMCPACK: an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids

J Kim, AD Baczewski, TD Beaudet… - Journal of Physics …, 2018 - iopscience.iop.org
QMCPACK is an open source quantum Monte Carlo package for ab initio electronic
structure calculations. It supports calculations of metallic and insulating solids, molecules …

Interactions between large molecules pose a puzzle for reference quantum mechanical methods

YS Al-Hamdani, PR Nagy, A Zen, D Barton… - Nature …, 2021 - nature.com
Quantum-mechanical methods are used for understanding molecular interactions
throughout the natural sciences. Quantum diffusion Monte Carlo (DMC) and coupled cluster …

Quantum Monte Carlo calculation of the binding energy of bilayer graphene

E Mostaani, ND Drummond, VI Fal'Ko - Physical review letters, 2015 - APS
We report diffusion quantum Monte Carlo calculations of the interlayer binding energy of
bilayer graphene. We find the binding energies of the AA-and AB-stacked structures at the …

Quantum Monte Carlo method using phase-free random walks with Slater determinants

S Zhang, H Krakauer - Physical review letters, 2003 - APS
We develop a quantum Monte Carlo method for many fermions using random walks in the
space of Slater determinants. An approximate approach is formulated with a trial wave …

Jastrow correlation factor for atoms, molecules, and solids

ND Drummond, MD Towler, RJ Needs - Physical Review B—Condensed …, 2004 - APS
A form of Jastrow factor is introduced for use in quantum Monte Carlo simulations of finite
and periodic systems. Test data are presented for atoms, molecules, and solids, including …

Energy-consistent pseudopotentials for quantum Monte Carlo calculations

M Burkatzki, C Filippi, M Dolg - The Journal of chemical physics, 2007 - pubs.aip.org
The authors present scalar-relativistic energy-consistent Hartree-Fock pseudopotentials for
the main-group elements. The pseudopotentials do not exhibit a singularity at the nucleus …