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 …

Quantum Monte Carlo and related approaches

BM Austin, DY Zubarev, WA Lester Jr - Chemical reviews, 2012 - ACS Publications
As the name implies, Monte Carlo (MC) methods employ random numbers to solve
problems. The range of problems that may be treated by MC is substantial; these include …

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 …

Neural network ansatz for periodic wave functions and the homogeneous electron gas

M Wilson, S Moroni, M Holzmann, N Gao, F Wudarski… - Physical Review B, 2023 - APS
We design a neural network Ansatz for variationally finding the ground-state wave function
of the homogeneous electron gas, a fundamental model in the physics of extended systems …

Variational and diffusion quantum Monte Carlo calculations with the CASINO code

RJ Needs, MD Towler, ND Drummond… - The Journal of …, 2020 - pubs.aip.org
We present an overview of the variational and diffusion quantum Monte Carlo methods as
implemented in the casino program. We particularly focus on developments made in the last …

Alleviation of the fermion-sign problem by optimization of many-body wave functions

CJ Umrigar, J Toulouse, C Filippi, S Sorella… - Physical review …, 2007 - APS
We present a simple, robust, and highly efficient method for optimizing all parameters of
many-body wave functions in quantum Monte Carlo calculations, applicable to continuum …

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 …

Generalized Lanczos algorithm for variational quantum Monte Carlo

S Sorella - Physical Review B, 2001 - APS
We show that the standard Lanczos algorithm can be efficiently implemented statistically
and self-consistently improved, using the stochastic reconfiguration method, which has been …

Simulation and understanding of atomic and molecular quantum crystals

C Cazorla, J Boronat - Reviews of Modern Physics, 2017 - APS
Quantum crystals abound in the whole range of solid-state species. Below a certain
threshold temperature the physical behavior of rare gases (He 4 and Ne), molecular solids …

Helium nanodroplets: An overview

M Barranco, R Guardiola, S Hernández… - Journal of low …, 2006 - Springer
We review the physics of helium nanodroplets with emphasis on theoretical aspects that
have been the subject of recent research, like 3 He and mixed 3 He− 4 He droplets, vortices …