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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

In the study of phase transitions a very few models are accessible to exact solution. In the most cases analytical simplifications have to be done or some numerical technique has to be used to get insight about their critical properties.…

Statistical Mechanics · Physics 2017-05-24 B. V. Costa , L. A. S. Mól , J. C. S. Rocha

We have produced and observed metastable solid helium-4 below its melting pressure between 1.1 K and 1.4 K. This is achieved by an intense pressure wave carefully focused inside a crystal of known orientation. An accurate density map of the…

Materials Science · Physics 2015-05-28 Fabien Souris , Jules Grucker , Jacques Dupont-Roc , Philippe Jacquier

Extensive Path Integral Monte Carlo simulations of condensed para-Hydrogen in two dimensions at low temperature have been carried out. In the zero temperature limit, the system is a crystal at equilibrium, with a triangular lattice…

Statistical Mechanics · Physics 2009-11-10 Massimo Boninsegni

We show that, at high densities, fully variational solutions of solid-like type can be obtained from a density functional formalism originally designed for liquid 4He. Motivated by this finding, we propose an extension of the method that…

Other Condensed Matter · Physics 2009-11-11 F. Ancilotto , M. Barranco , F. Caupin , R. Mayol , M. Pi

We show that there can exist two liquid states in distinguishable helium-4 ($^4$He) obeying Boltzmann statistics by path integral centroid molecular dynamics (CMD) simulations. This is an indication of quantum liquid polyamorphism induced…

Chemical Physics · Physics 2024-07-30 Momoko Tsujimoto , Kenichi Kinugawa

We have performed realistic atomistic simulations at finite temperatures using Monte Carlo and atomistic spin dynamics simulations incorporating quantum (Bose-Einstein) statistics. The description is much improved at low temperatures…

Materials Science · Physics 2018-01-10 Lars Bergqvist , Anders Bergman

We model the low-temperature specific heat of solid $^4$He in the hexagonal closed packed structure by invoking two-level tunneling states in addition to the usual phonon contribution of a Debye crystal for temperatures far below the Debye…

Statistical Mechanics · Physics 2011-04-08 Jung-Jung Su , Matthias J. Graf , Alexander V. Balatsky

The article is devoted to numerical studies of atomic (metal) hydrogen with Path Integral Monte Carlo (PIMC) technique. The research is focused on the range of temperatures and densities where quantum statistics effects are crucial for…

Other Condensed Matter · Physics 2013-04-10 Alexander Novoselov , Oleg Pavlovsky , Maxim Ulybyshev

A Quadratic Diffusion Monte Carlo method has been used to obtain the equation of state of liquid $^4$He including the negative pressure region down to the spinodal point. The atomic interaction used is a renewed version (HFD-B(HE)) of the…

Condensed Matter · Physics 2009-10-22 J. Boronat , J. Casulleras , J. Navarro

We study the zero-temperature quantum phase transition between liquid and hcp solid helium-4. We use the variational method with a simple yet exchange-symmetric and fully explicit wavefunction. It is found that the optimized wavefunction…

Quantum Gases · Physics 2017-04-03 Y. Lutsyshyn , G. E. Astrakharchik , C. Cazorla , J. Boronat

We follow the structural transformation in solid C$_{70}$ from the high temperature hcp to a low temperature monoclinic phase using x-ray diffraction studies at controlled cooling-rates from 0.0033 to 0.42 K/min. Rapid cooling of the sample…

Materials Science · Physics 2009-10-31 G. Ghosh , V. S. Sastry , C. S. Sundar , Surajit Sengupta , T. S. Radhakrishnan

The two-dimensional Falicov-Kimball (FK) model is analyzed using Monte Carlo method. In the case of concentrations of both itinerant and localized particles equal to 0.5 we determine temperature dependence of specific heat, charge density…

Strongly Correlated Electrons · Physics 2009-11-11 Maciej M. Maska , Katarzyna Czajka

We have determined the ground-state energies of para-H$_2$ clusters at zero temperature using the diffusion Monte Carlo method. The liquid or solid character of each cluster is investigated by restricting the phase through the use of proper…

Other Condensed Matter · Physics 2016-09-28 E. Sola , J. Boronat

By use of the conservation laws a four-site Hubbard model coupled to a particle bath within an external magnetic field in z-direction was diagonalized. The analytical dependence of both the eigenvalues and the eigenstates on the interaction…

Strongly Correlated Electrons · Physics 2017-09-27 R. Schumann

The hardcore-Bose-Hubbard model with random chemical potential is investigated using quantum Monte Carlo simulation. We consider two cases of random distribution of the chemical potential: a uniformly random distribution and a correlated…

Statistical Mechanics · Physics 2009-03-17 Mitsuaki Tsukamoto , Makoto Tsubota

We study the elastic properties of incommensurate solid 4He in the limit of zero temperature. Specifically, we calculate the pressure dependence of the five elastic constants (C11, C12, C13, C33, and C44), longitudinal and transversal…

Other Condensed Matter · Physics 2013-02-06 Claudio Cazorla , Yaroslav Lutsyshyn , Jordi Boronat

We study in random-phase approximation the newly discovered supersolid phase of ${}^4$He and present in detail its finite temperature properties. ${}^4$He is described within a hard-core quantum lattice gas model, with nearest and…

Other Condensed Matter · Physics 2015-05-14 A. J. Stoffel , M. Gulacsi

Molecular para-hydrogen has been proposed theoretically as a possible candidate for superfluidity, but the eventual superfluid transition is hindered by its crystallization. In this work, we study a metastable non crystalline phase of bulk…

Other Condensed Matter · Physics 2015-06-05 O. N. Osychenko , R. Rota , J. Boronat

Using path-integral Monte Carlo (PIMC) simulations, we have calculated energy of a crystal composed of atomic nuclei and uniform incompressible electron background in the temperature and density range, covering fully ionized layers of…

High Energy Astrophysical Phenomena · Physics 2023-10-02 D. A. Baiko , A. I. Chugunov