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We present a unified view of orientational ordering in phases I, II, and III of solid hydrogen. Phases II and III are orientationally ordered, while the ordering objects in phase II are angular momenta of rotating molecules, and in phase…

Condensed Matter · Physics 2009-10-28 I. I. Mazin , R. J. Hemley , A. F. Goncharov , M. Hanfland , H. -K. Mao

We investigate the van der Waals interactions in solid molecular hydrogen structures. We calculate enthalpy and the Gibbs free energy to obtain zero and finite temperature phase diagrams, respectively. We employ density functional theory…

Materials Science · Physics 2019-05-10 Sam Azadi , Graeme J. Ackland

Phase I of hydrogen has several peculiarities. Despite having a close-packed crystal structure, it is less dense than either the low temperature Phase II or the liquid phase. At high pressure, it transforms into either phase III or IV,…

Computational Physics · Physics 2016-05-17 Ioan B Magdau , Floris Balm , Graeme J Ackland

The high-pressure II-III phase transition in solid hydrogen is investigated using the random phase approximation and diffusion Monte Carlo. Good agreement between the methods is found confirming that an accurate treatment of exchange and…

Materials Science · Physics 2024-10-08 Maria Hellgren , Damian Contant , Thomas Pitts , Michele Casula

The first principles approaches, density functional theory (DFT) and quantum Monte Carlo, have been used to examine the balance between van der Waals (vdW) forces and hydrogen (H) bonding in ambient and high pressure phases of ice. At…

We describe a classical thermodynamic model that reproduces the main features of the solid hydrogen phase diagram. In particular, we show how the general structure types that are found by electronic structure calculations and the quantum…

Disordered Systems and Neural Networks · Physics 2017-04-05 Ioan B Magdău , Miriam Marques , Balint Borgulya , Graeme J Ackland

Quantum nuclear zero-point motions in solid H$_2$ and D$_2$ under pressure are investigated at 80 K up to 160 GPa by first-principles path-integral molecular dynamics calculations. Molecular orientations are well-defined in phase II of…

Materials Science · Physics 2015-06-05 Grégory Geneste , Marc Torrent , François Bottin , Paul Loubeyre

We examine the influence of the main approximations employed in density-functional theory descriptions of the solid phase of molecular hydrogen near dissociation. We consider the importance of nuclear quantum effects on equilibrium…

Materials Science · Physics 2015-06-15 M. A. Morales , J. M. McMahon , C. Pierleoni , D. M. Ceperley

We present an accurate computational study of the electronic structure and lattice dynamics of solid molecular hydrogen at high pressure. The band-gap energies of the $C2/c$, $Pc$, and $P6_3/m$ structures at pressures of 250, 300, and 350…

Materials Science · Physics 2017-10-27 Sam Azadi , Ranber Singh , T. D. Kühne

We describe the zero-temperature phase diagram of a model of a two-dimensional square-lattice array of neutral atoms, excited into Rydberg states and interacting via strong van der Waals interactions. Using the density-matrix…

Strongly Correlated Electrons · Physics 2020-03-11 Rhine Samajdar , Wen Wei Ho , Hannes Pichler , Mikhail D. Lukin , Subir Sachdev

The hydrogen phase diagram has a number of unusual features which are generally well reproduced by density functional calculations. Unfortunately, these calculations fail to provide good physical insights into why those features occur. In…

Materials Science · Physics 2020-10-28 Hongxiang Zong , Heather Wiebe , Graeme J. Ackland

The stability of high-pressure phases of hydrogen remains a central question in condensed matter physics, where both experimental observations and theoretical predictions are highly sensitive to methodological choices. Here, we revisit the…

Materials Science · Physics 2025-10-03 Stefano Racioppi , Eva Zurek

We study the theoretical foundations for the pressure shifts in high-precision atomic beam spectrosopy of hydrogen, with a particular emphasis on transitions involving higher excited P states. In particular, the long-range interaction of an…

Atomic Physics · Physics 2019-05-01 U. D. Jentschura , C. M. Adhikari , R. Dawes , A. Matveev , N. Kolachevsky

Path-integral molecular dynamics simulations based on density functional theory employing exchange-correlation density functionals capable of treating nonlocal van der Waals (vdW) interactions self-consistently provide a remarkably accurate…

Chemical Physics · Physics 2014-02-13 Jeffrey M. McMahon , Miguel A. Morales , Brian Kolb , Timo Thonhauser

The phase diagram of water harbours many mysteries: some of the phase boundaries are fuzzy, and the set of known stable phases may not be complete. Starting from liquid water and a comprehensive set of 50 ice structures, we compute the…

Statistical Mechanics · Physics 2021-01-27 Aleks Reinhardt , Bingqing Cheng

Quantum phase transitions have been the subject of intense investigations in the last two decades [1]. Among other problems, these phase transitions are relevant in the study of heavy fermion systems, high temperature superconductors and…

Strongly Correlated Electrons · Physics 2015-06-25 M. A. Continentino , A. S. Ferreira

The phase diagram of hydrogen is one of the most important challenges in high-pressure physics and astrophysics. Especially, the melting of dense hydrogen is complicated by dimer dissociation, metallization and nuclear quantum effect of…

Materials Science · Physics 2023-04-25 Hua Y. Geng , Q. Wu

We consider general theoretical models of water and in particular the nature of the motions of the hydrogen nuclei. If the motion of hydrogen nuclei is classical, then the thermodynamic pressure equation of state for heavy water wherein the…

Other Condensed Matter · Physics 2015-12-11 A. Widom , J. Swain , S. Sivasubramanian , D. Drosdoff , Y. N. Srivastava

Competing short- and long-range interactions represent distinguished ingredients for the formation of complex quantum many-body phases. Their study is hard to realize with conventional quantum simulators. In this regard, Rydberg atoms…

Quantum Gases · Physics 2024-02-06 Zeki Zeybek , Rick Mukherjee , Peter Schmelcher

Quantum-mechanical van der Waals dispersion interactions play an essential role for both intra-protein and protein-water interactions -- the two main driving forces for the structure and dynamics of proteins in aqueous solution. Typically,…

Chemical Physics · Physics 2019-10-22 Martin Stöhr , Alexandre Tkatchenko
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