Benchmarking vdW‐DF first‐principles predictions against Coupled Electron–Ion Monte Carlo for high‐pressure liquid hydrogen
Abstract
We report first‐principles results for the nuclear structure and optical responses of high‐pressure liquid hydrogen along two isotherms in the region of molecular dissociation. We employ density functional theory with the vdW‐DF approximation (vdW) and benchmark the results against existing predictions from Coupled Electron–Ion Monte Carlo (CEIMC). At fixed density and temperature, we find that the pressure obtained from vdW is higher than that from CEIMC by about 10 GPa in the molecular insulating phase and about 20 GPa in the dissociated metallic phase. Molecules are found to be over‐stabilized using vdW, with a slightly shorter bond length and with a stronger resistance to compression. As a consequence, pressure dissociation along isotherms using vdW is more progressive than that computed with CEIMC. Below the critical point, the liquid–liquid phase transition is observed with both theories in the same density region, but the one predicted by vdW has a smaller density discontinuity, i.e. a smaller first‐order character. The optical conductivity computed using Kubo–Greenwood formulation is rather similar for the two systems and reflects the slightly more pronounced molecular character of vdW.
- Authors:
-
- Maison de la Simulation, CEA, CNRS, Univ. Paris‐Sud, UVSQ Université Paris‐Saclay Gif‐sur‐Yvette France
- Maison de la Simulation, CEA, CNRS, Univ. Paris‐Sud, UVSQ Université Paris‐Saclay Gif‐sur‐Yvette France, Department of Physical and Chemical Sciences University of L'Aquila L'Aquila, Italy
- Department of Physics University of Illinois Urbana‐Champaign Illinois USA
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1494951
- Grant/Contract Number:
- NA DE‐NA0002911
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Contributions to Plasma Physics
- Additional Journal Information:
- Journal Name: Contributions to Plasma Physics Journal Volume: 59 Journal Issue: 4-5; Journal ID: ISSN 0863-1042
- Publisher:
- Wiley Blackwell (John Wiley & Sons)
- Country of Publication:
- Germany
- Language:
- English
Citation Formats
Gorelov, Vitaly, Pierleoni, Carlo, and Ceperley, David M. Benchmarking vdW‐DF first‐principles predictions against Coupled Electron–Ion Monte Carlo for high‐pressure liquid hydrogen. Germany: N. p., 2019.
Web. doi:10.1002/ctpp.201800185.
Gorelov, Vitaly, Pierleoni, Carlo, & Ceperley, David M. Benchmarking vdW‐DF first‐principles predictions against Coupled Electron–Ion Monte Carlo for high‐pressure liquid hydrogen. Germany. https://doi.org/10.1002/ctpp.201800185
Gorelov, Vitaly, Pierleoni, Carlo, and Ceperley, David M. Sun .
"Benchmarking vdW‐DF first‐principles predictions against Coupled Electron–Ion Monte Carlo for high‐pressure liquid hydrogen". Germany. https://doi.org/10.1002/ctpp.201800185.
@article{osti_1494951,
title = {Benchmarking vdW‐DF first‐principles predictions against Coupled Electron–Ion Monte Carlo for high‐pressure liquid hydrogen},
author = {Gorelov, Vitaly and Pierleoni, Carlo and Ceperley, David M.},
abstractNote = {We report first‐principles results for the nuclear structure and optical responses of high‐pressure liquid hydrogen along two isotherms in the region of molecular dissociation. We employ density functional theory with the vdW‐DF approximation (vdW) and benchmark the results against existing predictions from Coupled Electron–Ion Monte Carlo (CEIMC). At fixed density and temperature, we find that the pressure obtained from vdW is higher than that from CEIMC by about 10 GPa in the molecular insulating phase and about 20 GPa in the dissociated metallic phase. Molecules are found to be over‐stabilized using vdW, with a slightly shorter bond length and with a stronger resistance to compression. As a consequence, pressure dissociation along isotherms using vdW is more progressive than that computed with CEIMC. Below the critical point, the liquid–liquid phase transition is observed with both theories in the same density region, but the one predicted by vdW has a smaller density discontinuity, i.e. a smaller first‐order character. The optical conductivity computed using Kubo–Greenwood formulation is rather similar for the two systems and reflects the slightly more pronounced molecular character of vdW.},
doi = {10.1002/ctpp.201800185},
journal = {Contributions to Plasma Physics},
number = 4-5,
volume = 59,
place = {Germany},
year = {Sun Feb 17 00:00:00 EST 2019},
month = {Sun Feb 17 00:00:00 EST 2019}
}
https://doi.org/10.1002/ctpp.201800185
Web of Science
Works referenced in this record:
Projector augmented-wave method
journal, December 1994
- Blöchl, P. E.
- Physical Review B, Vol. 50, Issue 24, p. 17953-17979
Molecular-Atomic Transition along the Deuterium Hugoniot Curve with Coupled Electron-Ion Monte Carlo Simulations
journal, July 2015
- Tubman, Norm M.; Liberatore, Elisa; Pierleoni, Carlo
- Physical Review Letters, Vol. 115, Issue 4
Stable Liquid Hydrogen at High Pressure by a Novel Ab Initio Molecular-Dynamics Calculation
journal, March 2008
- Attaccalite, Claudio; Sorella, Sandro
- Physical Review Letters, Vol. 100, Issue 11
Theory of finite size effects for electronic quantum Monte Carlo calculations of liquids and solids
journal, July 2016
- Holzmann, Markus; Clay, Raymond C.; Morales, Miguel A.
- Physical Review B, Vol. 94, Issue 3
Energy band gaps and lattice parameters evaluated with the Heyd-Scuseria-Ernzerhof screened hybrid functional
journal, November 2005
- Heyd, Jochen; Peralta, Juan E.; Scuseria, Gustavo E.
- The Journal of Chemical Physics, Vol. 123, Issue 17
Local structure in dense hydrogen at the liquid-liquid phase transition by coupled electron-ion Monte Carlo
journal, December 2017
- Pierleoni, Carlo; Holzmann, Markus; Ceperley, David M.
- Contributions to Plasma Physics, Vol. 58, Issue 2-3
Evaluation of exchange-correlation functionals with multiple-shock conductivity measurements in hydrogen and deuterium at the molecular-to-atomic transition
journal, November 2018
- Knudson, M. D.; Desjarlais, M. P.; Preising, M.
- Physical Review B, Vol. 98, Issue 17
Liquid–liquid phase transition in hydrogen by coupled electron–ion Monte Carlo simulations
journal, April 2016
- Pierleoni, Carlo; Morales, Miguel A.; Rillo, Giovanni
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 18
Kubo–Greenwood electrical conductivity formulation and implementation for projector augmented wave datasets
journal, December 2017
- Calderín, L.; Karasiev, V. V.; Trickey, S. B.
- Computer Physics Communications, Vol. 221
Direct observation of an abrupt insulator-to-metal transition in dense liquid deuterium
journal, June 2015
- Knudson, M. D.; Desjarlais, M. P.; Becker, A.
- Science, Vol. 348, Issue 6242
Insulator-metal transition in dense fluid deuterium
journal, August 2018
- Celliers, Peter M.; Millot, Marius; Brygoo, Stephanie
- Science, Vol. 361, Issue 6403
Van der Waals Density Functional for General Geometries
journal, June 2004
- Dion, M.; Rydberg, H.; Schröder, E.
- Physical Review Letters, Vol. 92, Issue 24
Microscopic origin of the Drude-Smith model
journal, November 2017
- Cocker, T. L.; Baillie, D.; Buruma, M.
- Physical Review B, Vol. 96, Issue 20
Phase Diagram of Hydrogen and a Hydrogen-Helium Mixture at Planetary Conditions by Quantum Monte Carlo Simulations
journal, January 2018
- Mazzola, Guglielmo; Helled, Ravit; Sorella, Sandro
- Physical Review Letters, Vol. 120, Issue 2
Coupled electron-ion Monte Carlo simulation of hydrogen molecular crystals
journal, March 2018
- Rillo, Giovanni; Morales, Miguel A.; Ceperley, David M.
- The Journal of Chemical Physics, Vol. 148, Issue 10
The properties of hydrogen and helium under extreme conditions
journal, November 2012
- McMahon, Jeffrey M.; Morales, Miguel A.; Pierleoni, Carlo
- Reviews of Modern Physics, Vol. 84, Issue 4
Quantum Monte Carlo study of high pressure solid molecular hydrogen
journal, November 2013
- Azadi, Sam; Foulkes, W. M. C.; Kühne, Thomas D.
- New Journal of Physics, Vol. 15, Issue 11
Classical generalization of the Drude formula for the optical conductivity
journal, September 2001
- Smith, N.
- Physical Review B, Vol. 64, Issue 15
Towards a predictive first-principles description of solid molecular hydrogen with density functional theory
journal, May 2013
- Morales, Miguel A.; McMahon, Jeffrey M.; Pierleoni, Carlo
- Physical Review B, Vol. 87, Issue 18
Evidence for a first-order liquid-liquid transition in high-pressure hydrogen from ab initio simulations
journal, June 2010
- Morales, M. A.; Pierleoni, C.; Schwegler, E.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 29
Nuclear Quantum Effects and Nonlocal Exchange-Correlation Functionals Applied to Liquid Hydrogen at High Pressure
journal, February 2013
- Morales, Miguel A.; McMahon, Jeffrey M.; Pierleoni, Carlo
- Physical Review Letters, Vol. 110, Issue 6
Benchmarking exchange-correlation functionals for hydrogen at high pressures using quantum Monte Carlo
journal, May 2014
- Clay, Raymond C.; Mcminis, Jeremy; McMahon, Jeffrey M.
- Physical Review B, Vol. 89, Issue 18
Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
journal, June 1957
- Kubo, Ryogo
- Journal of the Physical Society of Japan, Vol. 12, Issue 6
The Boltzmann Equation in the Theory of Electrical Conduction in Metals
journal, April 1958
- Greenwood, D. A.
- Proceedings of the Physical Society, Vol. 71, Issue 4
Advanced capabilities for materials modelling with Quantum ESPRESSO
journal, October 2017
- Giannozzi, P.; Andreussi, O.; Brumme, T.
- Journal of Physics: Condensed Matter, Vol. 29, Issue 46
The penalty method for random walks with uncertain energies
journal, May 1999
- Ceperley, D. M.; Dewing, M.
- The Journal of Chemical Physics, Vol. 110, Issue 20