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We analyze in detail the electronic properties of high pressure hydrogen around the liquid-liquid phase transition based on Coupled Electron-Ion Monte Carlo calculations. Computing the off-diagonal single particle density matrix and the…

Materials Science · Physics 2022-01-26 Carlo Pierleoni , Giovanni Rillo , David M. Ceperley , Markus Holzmann

The study of the high pressure phase diagram of hydrogen has continued with renewed effort for about one century as it remains a fundamental challenge for experimental and theoretical techniques. Here we employ an efficient molecular…

Chemical Physics · Physics 2014-04-23 Guglielmo Mazzola , Seiji Yunoki , Sandro Sorella

A first-order liquid-liquid phase transition in high-pressure hydrogen between molecular and atomic fluid phases has been predicted in computer simulations using ab initio molecular dynamics approaches. However, experiments indicate that…

Statistical Mechanics · Physics 2007-05-23 Kris T. Delaney , Carlo Pierleoni , D. M. Ceperley

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

We propose a non-perturbative $ab$ $initio$ approach to calculate the electrical conductivity of a liquid metal. Our approach is based on the Kubo formula and the theory of electron-phonon coupling (EPC), and unlike the conventional…

Materials Science · Physics 2022-04-26 Xiao-Wei Zhang , Haoran Chen , En-Ge Wang , Junren Shi , Xin-Zheng Li

We introduce an efficient scheme for the molecular dynamics of electronic systems by means of quantum Monte Carlo. The evaluation of the (Born-Oppenheimer) forces acting on the ionic positions is achieved by two main ingredients: i) the…

Strongly Correlated Electrons · Physics 2009-11-13 Claudio Attaccalite , Sandro Sorella

We introduce an efficient scheme for the molecular dynamics of electronic systems by means of quantum Monte Carlo. The evaluation of the (Born-Oppenheimer) forces acting on the ionic positions is achieved by two main ingredients: i) the…

Strongly Correlated Electrons · Physics 2007-05-23 Sandro Sorella , Claudio Attaccalite

Liquid NaSn alloys in five different compositions (20, 40, 50, 57 and 80% sodium) are studied using density functional calculations combined with molecular dynamics(Car-Parrinello method). The frequency-dependent electric conductivities for…

mtrl-th · Physics 2009-10-30 R. Kaschner , M. Schoene , G. Seifert , G. Pastore

In the last few years we have been developing a Monte Carlo simulation method to cope with systems of many electrons and ions in the Born-Oppenheimer (BO) approximation, the Coupled Electron-Ion Monte Carlo Method (CEIMC). Electronic…

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

Many body trial wave functions are the key ingredient for accurate Quantum Monte Carlo estimates of total electronic energies in many electron systems. In the Coupled Electron-Ion Monte Carlo method, the accuracy of the trial function must…

Computational Physics · Physics 2009-11-13 Carlo Pierleoni , Kris T. Delaney , Miguel A. Morales , David M. Ceperley , Markus Holzmann

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. This…

Statistical Mechanics · Physics 2009-11-10 Markus Holzmann , Carlo Pierleoni , David M. Ceperley

We have developed a technique combining the accuracy of quantum Monte Carlo in describing the electron correlation with the efficiency of a Machine Learning Potential (MLP). We use kernel regression in combination with SOAP (Smooth Overlap…

Strongly Correlated Electrons · Physics 2025-03-11 Andrea Tirelli , Giacomo Tenti , Kousuke Nakano , Sandro Sorella

We study thermodynamic properties and the electrical conductivity of dense hydrogen and deuterium using three methods: classical reactive Monte Carlo (REMC), direct path integral Monte Carlo (PIMC) and a quantum dynamics method in the…

Plasma Physics · Physics 2015-05-13 V. S. Filinov , P. R. Levashov , A. V. Boţan , M. Bonitz , V. E. Fortov

We use the diffusion quantum Monte Carlo (DMC) method to calculate the ground state phase diagram of solid molecular hydrogen and examine the stability of the most important insulating phases relative to metallic crystalline molecular…

Materials Science · Physics 2015-06-16 S. Azadi , W. M. C. Foulkes , T. D. Kuehne

We present a study of the local structure of high pressure hydrogen around the liquid-liquid transition line based on results from the Coupled Electron-Ion Monte Carlo method. We report results for the Equation of State, for the radial…

Statistical Mechanics · Physics 2018-05-09 Carlo Pierleoni , Markus Holzmann , 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

We study the temperature and gate voltage dependence of the conductance of the single electron transistor focusing on highly conducting devices. Electron tunneling is treated nonperturbatively by means of path integral Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Georg Goeppert , Bruno Huepper , Hermann Grabert

We study the electronic excitation spectra in solid molecular hydrogen (phase I) at ambient temperature and 5-90 GPa pressures using Quantum Monte Carlo methods and Many-Body Perturbation Theory. In this range, the system changes from a…

Materials Science · Physics 2024-05-21 Vitaly Gorelov , Markus Holzmann , David M. Ceperley , Carlo Pierleoni

In this article, we report a fully ab initio variational Monte Carlo study of the linear, and periodic chain of Hydrogen atoms, a prototype system providing the simplest example of strong electronic correlation in low dimensions. In…

Strongly Correlated Electrons · Physics 2015-05-30 Lorenzo Stella , Claudio Attaccalite , Sandro Sorella , Angel Rubio

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
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