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We present results and discuss methods for computing the melting temperature of dense molecular hydrogen using a machine learned model trained on quantum Monte Carlo data. In this newly trained model, we emphasize the importance of accurate…

Chemical Physics · Physics 2024-11-26 Shubhang Goswami , Scott Jensen , Yubo Yang , Markus Holzmann , Carlo Pierleoni , David M. Ceperley

We simulate high-pressure hydrogen in its liquid phase close to molecular dissociation using a machine-learned interatomic potential. The model is trained with density functional theory (DFT) forces and energies, with the…

Statistical Mechanics · Physics 2024-12-20 Mathieu Istas , Scott Jensen , Yubo Yang , Markus Holzmann , Carlo Pierleoni , David M. Ceperley

Experiments and computer simulations have shown that the melt-ing temperature of solid hydrogen drops with pressure above about 65 GPa, suggesting that a liquid state might exist at low temperatures. It has also been suggested that this low…

The molecular-to-atomic liquid-liquid transition (LLT) in high-pressure hydrogen is a fundamental topic touching domains from planetary science to materials modeling. Yet, the nature of the LLT is still under debate. To resolve it,…

Disordered Systems and Neural Networks · Physics 2025-11-18 Giacomo Tenti , Bastian Jäckl , Kousuke Nakano , Matthias Rupp , Michele Casula

For a long time, there have been huge discrepancies between different models and experiments concerning the liquid-liquid phase transition (LLPT) in dense hydrogen. In this work, we present the results of extensive calculations of the LLPT…

Computational Physics · Physics 2019-12-10 Binbin Lu , Dongdong Kang , Dan Wang , Tianyu Gao , Jiayu Dai

Metallic hydrogen is expected to exhibit remarkable physics. Of particular interest in this work is the possibility of high-temperature superconductivity. Comparing calculations of the superconducting critical temperatures of the solid…

Superconductivity · Physics 2021-07-02 Craig M. Tenney , Zachary F. Croft , Jeffrey M. McMahon

Non-monotonous changes in velocity autocorrelations across the transformation from molecular to atomic fluid in hydrogen under pressure are studied by ab initio molecular dynamics simulations at the temperature 2500 K. We report diffusion…

Soft Condensed Matter · Physics 2020-05-27 G. Ruocco , T. Bryk , C. Pierleoni , A. P. Seitsonen

We present an accurate study of the static-nucleus electronic energy band gap of solid molecular hydrogen at high pressure. The excitonic and quasiparticle gaps of the $C2/c$, $Pc$, $Pbcn$, and $P6_3/m$ structures at pressures of 250, 300,…

Materials Science · Physics 2017-01-25 Sam Azadi , N. D. Drummond , W. M. C. Foulkes

Temperature-driven polyamorphism has been reported in various supercooled liquids and glasses. The dynamical and structural routes followed by the system during such crossovers are however not universal and appear to be related to intrinsic…

Disordered Systems and Neural Networks · Physics 2018-08-29 S. Hechler , B. Ruta , M. Stolpe , E. Pineda , Z. Evenson , O. Gross , W. Hembree , A. Bernasconi , R. Busch , I. Gallino

We survey the phase diagram of high-pressure molecular hydrogen with path integral molecular dynamics using a machine-learned interatomic potential trained with Quantum Monte Carlo forces and energies. Besides the HCP and C2/c-24 phases, we…

Materials Science · Physics 2023-02-22 Hongwei Niu , Yubo Yang , Scott Jensen , Markus Holzmann , Carlo Pierleoni , David M. Ceperley

We introduce a novel method that combines the accuracy of Quantum Monte Carlo simulations with ab-initio Molecular Dynamics, in the spirit of Car-Parrinello. This method is then used for investigating the structure of a two-dimensional…

Computational Physics · Physics 2017-05-16 Francesco Calcavecchia , Thomas D. Kühne , Markus Holzmann

The molecular phase of hydrogen converts to the atomic metallic phase at high pressures estimated usually as 300 - 500 GPa. We analyze the decay of metallic phase as the pressure is relieved below the transition one. The metallic state is…

Other Condensed Matter · Physics 2018-01-03 S. N. Burmistrov , L. B. Dubovskii

Hydrogen has been the essential element in the development of atomic and molecular physics1). Moving to the properties of dense hydrogen has appeared a good deal more complex than originally thought by Wigner and Hungtinton in their seminal…

Materials Science · Physics 2019-06-14 Paul Loubeyre , Florent Occelli , Paul Dumas

Ab initio molecular dynamic method within the framework of density functional theory is applied to analyze the structural and electronic properties of crystalline molecular hydrogen at temperature 100\,K. Pressure, pair correlation function…

Materials Science · Physics 2022-01-12 I. Saitov

We use numerical simulation to examine the possibility of a reversible liquid-liquid transition in supercooled water and related systems. In particular, for two atomistic models of water, we have computed free energies as functions of…

Statistical Mechanics · Physics 2012-05-11 David T. Limmer , David Chandler

We investigate the dissociation and ionization equilibria of deuterium fluid over a wide range of temperatures and densities. The partition functions for molecular and atomic species are evaluated, in a statistical-mechanically consistent…

Plasma Physics · Physics 2015-11-19 Mofreh R. Zaghloul

We calculate the melting line of atomic hydrogen and deuterium up to 900 GPa with path-integral Monte Carlo using a machine-learned interatomic potential. We improve upon previous simulations of melting by treating the electrons with…

Materials Science · Physics 2024-10-01 Kevin K. Ly , David M. Ceperley

Molecular hydrogen was pressurized in a diamond anvil cell at temperatures between 5 and 83 K. At a sufficiently high pressure, estimated to be between 477 to 491 GPa, hydrogen became metallic, determined by its reflectance in the near…

Materials Science · Physics 2022-09-27 W. Ferreira , M. Moller , K. Linsuain , J. Song , A. Salamat , R. Dias , I. F. Silvera

We present a new Monte Carlo method which couples Path Integral for finite temperature protons with Quantum Monte Carlo for ground state electrons, and we apply it to metallic hydrogen for pressures beyond molecular dissociation. We report…

Computational Physics · Physics 2007-05-23 Carlo Pierleoni , David M. Ceperley , Markus Holzmann

We present a study of hydrogen at pressures higher than molecular dissociation using the Coupled Electron-Ion Monte Carlo method. These calculations use the accurate Reptation Quantum Monte Carlo method to estimate the electronic energy and…

Materials Science · Physics 2013-05-29 Miguel A. Morales , Carlo Pierleoni , David Ceperley