The Coupled Electron-Ion Monte Carlo Method
arXiv:physics/0510254 · doi:10.1007/3-540-35273-2_18
Abstract
In these Lecture Notes we review the principles of the Coupled Electron-Ion Monte Carlo methods and discuss some recent results on metallic hydrogen.
38 pages, 6 figures, Lecture notes for the International School of Solid State Physics, 34th course: "Computer Simulation in Condensed Matter: from Materials to Chemical Biology", 20 July-1 August 2005 Erice (Italy). To appear in Lecture Notes in Physics (2006)
References in corpus (9)
- A superconductor to superfluid phase transition in liquid metallic hydrogen
- A quantum fluid of metallic hydrogen suggested by first-principles calculations
- An efficient localized basis set for quantum Monte Carlo calculations on condensed matter
- Coupled Electron Ion Monte Carlo Calculations of Dense Metallic Hydrogen
- Quantum Monte Carlo Simulation of the High-Pressure Molecular-Atomic Crossover in Fluid Hydrogen
- Stochastic linear scaling for metals and non metals
- Coupled Electron Ion Monte Carlo Calculations of Atomic Hydrogen
- Simulation of geometric and electronic degrees of freedom using a kink-based path integral formulation: application to molecular systems
- Computational methods in Coupled Electron-Ion Monte Carlo
Cited by in corpus (15)
- Nuclear quantum effects enter the mainstream
- Zero-Temperature Structures of Atomic Metallic Hydrogen
- First principles simulations of dense hydrogen
- Towards a Predictive First-Principles Description of Solid Molecular Hydrogen with Density-Functional Theory
- Equation of state of metallic hydrogen from Coupled Electron-Ion Monte Carlo simulations
- Electronic band gaps from Quantum Monte Carlo methods
- Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas
- Molecular-Atomic Transition in the Deuterium Hugoniot with Coupled Electron Ion Monte Carlo
- Optical properties of high pressure liquid hydrogen across molecular dissociation
- Electrical conductivity of high-pressure liquid hydrogen by quantum Monte Carlo methods
- Trial wave functions for High-Pressure Metallic Hydrogen
- Free energy methods in Coupled Electron Ion Monte Carlo
- Electron localization properties in high pressure hydrogen at the liquid-liquid phase transition by Coupled Electron-Ion Monte Carlo
- Quantum Monte Carlo determination of the principal Hugoniot of deuterium
- The Early Years of Quantum Monte Carlo (2): Finite Temperature Simulations