Computational methods in coupled electron-ion Monte Carlo simulations

Carlo Pierleoni, David M. Ceperley

Research output: Contribution to journalArticlepeer-review


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 approximation: the coupled electron-ion Monte Carlo method (CEIMC). Electronic properties in CEIMC are computed by quantum Monte Carlo rather than by density functional theory (DFT) based techniques. CEIMC can, in principle, overcome some of the limitations of the present DFT-based ab initio dynamical methods. The new method has recently been applied to high-pressure metallic hydrogen. Herein, we present a new sampling algorithm that we have developed in the framework of the reptation quantum Monte Carlo method chosen to sample the electronic degrees of freedom, thereby improving its efficiency. Moreover, we show herein that, at least for the case of metallic hydrogen, variational estimates of the electronic energies lead to an accurate sampling of the proton degrees of freedom.

Original languageEnglish (US)
Pages (from-to)1872-1878
Number of pages7
Issue number9
StatePublished - Sep 5 2005


  • Ab initio calculations
  • High-pressure chemistry
  • Hydrogen molecular dynamics
  • Theoretical chemistry

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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