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Title: The transition to the metallic state in low density hydrogen

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4935808· OSTI ID:22493259
;  [1];  [2];  [3]
  1. Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
  2. Department of Physics, University of Illinois, Urbana, Illinois 61801 (United States)
  3. Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)

Solid atomic hydrogen is one of the simplest systems to undergo a metal-insulator transition. Near the transition, the electronic degrees of freedom become strongly correlated and their description provides a difficult challenge for theoretical methods. As a result, the order and density of the phase transition are still subject to debate. In this work, we use diffusion quantum Monte Carlo to benchmark the transition between paramagnetic and anti-ferromagnetic body centered cubic atomic hydrogen in its ground state. We locate the density of the transition by computing the equation of state for these two phases and identify the phase transition order by computing the band gap near the phase transition. These benchmark results show that the phase transition is continuous and occurs at a Wigner-Seitz radius of r{sub s} = 2.27(3) a{sub 0}. We compare our results to previously reported density functional theory, Hedin’s GW approximation, and dynamical mean field theory results.

OSTI ID:
22493259
Journal Information:
Journal of Chemical Physics, Vol. 143, Issue 19; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
Country of Publication:
United States
Language:
English

References (34)

On the eigenfunctions of many-particle systems in quantum mechanics journal January 1957
The transition from the metallic to the non-metallic state journal September 1958
A new determinant-based full configuration interaction method journal November 1984
Hydrogen solid in self-interaction-corrected local-spin-density approximation journal November 1990
Multideterminant Wave Functions in Quantum Monte Carlo journal June 2012
Density Matrix Embedding: A Strong-Coupling Quantum Embedding Theory journal February 2013
Strongly Correlated Materials: Insights From Dynamical Mean-Field Theory journal March 2004
Norm-conserving Hartree–Fock pseudopotentials and their asymptotic behavior journal January 2005
Smooth relativistic Hartree–Fock pseudopotentials for H to Ba and Lu to Hg journal May 2005
Multireference correlation in long molecules with the quadratic scaling density matrix renormalization group journal October 2006
Optimization of quantum Monte Carlo wave functions by energy minimization journal February 2007
Full optimization of Jastrow–Slater wave functions with application to the first-row atoms and homonuclear diatomic molecules journal May 2008
Computing the energy of a water molecule using multideterminants: A simple, efficient algorithm journal December 2011
Fixed‐node quantum Monte Carlo for molecules a) b) journal December 1982
Influence of single particle orbital sets and configuration selection on multideterminant wavefunctions in quantum Monte Carlo journal June 2015
Evidence for a first-order liquid-liquid transition in high-pressure hydrogen from ab initio simulations journal June 2010
The transition to the metallic state journal February 1961
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Electron correlations in narrow energy bands journal November 1963
Many-Body Problem with Strong Forces journal June 1955
Density-functional study of the magnetic and metal-insulator transition of bcc hydrogen journal November 1998
Structure dependence of metallization density in solid atomic hydrogen using dynamical mean field theory journal November 2010
Quantum Monte Carlo Calculations of Structural Properties of FeO Under Pressure journal October 2008
Magnetic structure and equation of state of bcc solid hydrogen: A variational quantum Monte Carlo study journal November 1990
Crystal structure of atomic hydrogen journal March 1993
Metal-insulator transitions journal June 1991
The Transition from the Metallic to the Non-Metallic State book August 1995
Full optimization of Jastrow-Slater wave functions with application to the first-row atoms and homonuclear diatomic molecules text January 2008
Momentum Distribution and Renormalization Factor in Sodium and the Electron Gas text January 2010
Computing the energy of a water molecule using MultiDeterminants: A simple, efficient algorithm text January 2011
Backflow Correlations for the Electron Gas and Metallic Hydrogen text January 2003
Multireference Correlation in Long Molecules with the Quadratic Scaling Density Matrix Renormalization Group text January 2006
Alleviation of the Fermion-sign problem by optimization of many-body wave functions text January 2006
Quantum Monte Carlo calculations of the one-body density matrix and excitation energies of silicon text January 1998