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 …

Applications of quantum Monte Carlo methods in condensed systems

J Kolorenč, L Mitas - Reports on Progress in Physics, 2011 - iopscience.iop.org
Abstract Quantum Monte Carlo methods represent a powerful and broadly applicable
computational tool for finding very accurate solutions of the stationary Schrödinger equation …

[HTML][HTML] Core formation, mantle differentiation and core-mantle interaction within Earth and the terrestrial planets

RG Trønnes, MA Baron, KR Eigenmann, MG Guren… - Tectonophysics, 2019 - Elsevier
The terrestrial planets accreted from a diverse suite of solar system materials ranging from
strongly O-deficient materials similar to enstatite chondrites via ordinary chondrite materials …

Geophysics of chemical heterogeneity in the mantle

L Stixrude, C Lithgow-Bertelloni - Annual Review of Earth and …, 2012 - annualreviews.org
Chemical heterogeneity, produced by the near-surface rock cycle and dominated
volumetrically by subducted oceanic crust and its depleted residue, is continuously …

Quantum Monte Carlo applied to solids

L Shulenburger, TR Mattsson - Physical Review B—Condensed Matter and …, 2013 - APS
We apply diffusion quantum Monte Carlo to a broad set of solids, benchmarking the method
by comparing bulk structural properties (equilibrium volume and bulk modulus) to …

Elastic properties of stishovite and the CaCl2-type silica at the mantle temperature and pressure: An ab initio investigation

R Yang, Z Wu - Earth and Planetary Science Letters, 2014 - Elsevier
The elastic constant tensors of stishovite and the CaCl 2-type silica at the Earth's mantle
temperature and pressure were determined using first-principles calculations with local …

Cohesion and excitations of diamond-structure silicon by quantum Monte Carlo: Benchmarks and control of systematic biases

A Annaberdiyev, G Wang, CA Melton, MC Bennett… - Physical Review B, 2021 - APS
We have carried out quantum Monte Carlo (QMC) calculations of silicon crystal focusing on
the accuracy and systematic biases that affect the electronic structure characteristics. The …

Toward an accurate equation of state and B1-B2 phase boundary for magnesium oxide up to terapascal pressures and electron-volt temperatures

S Zhang, R Paul, SX Hu, MA Morales - Physical Review B, 2023 - APS
By applying auxiliary-field quantum Monte Carlo, we calculate the equation of state (EOS)
and B1-B2 phase transition of magnesium oxide (MgO) up to 1 TPa. The results agree with …

Equations of state and phase boundary for stishovite and CaCl2-type SiO2

RA Fischer, AJ Campbell, BA Chidester… - American …, 2018 - degruyter.com
Silica is thought to be present in the Earth's lower mantle in subducting plates, in addition to
being a prototypical solid whose physical properties are of broad interest. It is known to …

Stability, metastability, and elastic properties of a dense silica polymorph, seifertite

B Grocholski, SH Shim… - Journal of Geophysical …, 2013 - Wiley Online Library
Dense silica polymorphs with sixfold coordinated Si have been found in SNC and lunar
meteorites and may be important minerals for silica‐rich components in the lower mantle …