Momentum distribution of the homogeneous electron gas.

  title={Momentum distribution of the homogeneous electron gas.},
  author={Markus Holzmann and Bernard Bernu and Carlo Pierleoni and Jeremy Mcminis and David M. Ceperley and V. Olevano and Luigi Delle Site},
  journal={Physical review letters},
  volume={107 11},
We calculate the off-diagonal density matrix of the homogeneous electron gas at zero temperature using unbiased reptation Monte Carlo calculations for various densities and extrapolate the momentum distribution and the kinetic and potential energies to the thermodynamic limit. Our results on the renormalization factor allow us to validate approximate G0W0 calculations concerning quasiparticle properties over a broad density region (1≤r(s)≲10) and show that, near the Fermi surface, vertex… 

Figures and Tables from this paper

Finite-size analysis of the Fermi liquid properties of the homogeneous electron gas

We analyze the extrapolation to the thermodynamic limit of Fermi liquid properties of the homogeneous electron gas in two and three dimensions. Using field theory, we explicitly calculate finite-size

Momentum distribution of the uniform electron gas at finite temperature: Effects of spin polarization.

It is found that interesting physical effects like the interaction-induced increase in the occupation of the zero-momentum state n(0) substantially depend on ξ, and the current understanding of the UEG as a fundamental model system is advanced.

Short-distance properties of Coulomb systems

We use the operator product expansion to derive exact results for the momentum distribution and the static structure factor at high momentum for a jellium model of electrons in both two and three

Momentum distribution function and short-range correlations of the warm dense electron gas: Ab initio quantum Monte Carlo results.

This work presents extensive results for the density and temperature dependence of the on-top PDF and for the momentum distribution in the entire momentum range for the nonideal uniform electron gas at warm dense matter conditions.

Quantum Monte Carlo study of the three-dimensional spin-polarized homogeneous electron gas

We have studied the spin-polarized three-dimensional homogeneous electron gas using the diffusion quantum Monte Carlo method, with trial wave functions including backflow and three-body correlations

Optimized correlations inspired by perturbation theory

We study the accuracy of analytical wave function based many-body methods derived by energy minimization of a Jastrow-Feenberg ansatz for electrons (`Fermi hypernetted chain approach').

Electron localization properties in high pressure hydrogen at the liquid-liquid phase transition by Coupled Electron-Ion Monte Carlo

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



Spectral moments in the homogeneous electron gas

We present calculations of the lowest three moments of the spectral function of the one-particle Green’s function of the unpolarized three-dimensional homogeneous electron gas, which are related to


It was shown that certain analytical properties of the propagators of many-ferraion systems led rigorously to the existence of sharp discontinuities of the momentum distribution at absolute zero.

Inclusion of vertex corrections in the self-consistent calculation of quasiparticles in metals.

Based on the Bethe-Salpeter equation and the Ward identity derived from it, we provide a scheme for constructing the vertex function in the self-consistent iteration loop to determine the electron

Lifetime of a quasiparticle in an electron liquid

Inelastic lifetime of an electron quasiparticle in an electron liquid due to electron-electron interaction evaluated in previous work is calculated in an alternative way. Both the contributions of

Bare electron dispersion from experiment: Self-consistent self-energy analysis of photoemission data

Performing an in-depth analysis of the photoemission spectra along the nodal direction of the hightemperature superconductor Bi-2212 we developed a procedure to determine the underlying electronic

Electron Self-Energy Approach to Correlation in a Degenerate Electron Gas

A new method of computing the correlation energy of a degenerate electron gas is presented in which the interactions are studied by considering the self-energy of a lone particle impurity in the

Theory Of Interacting Fermi Systems

This book provides a detailed exposition of field theoretical methods as applied to zero temperature Fermi liquids. Special attention is paid to the concept of quasiparticles in normal Fermi liquids.

A proof of Luttinger's theorem

A rigorous and simple perturbative proof of Luttinger's theorem is sketched for Fermi liquids in two and three dimensions. It is proved that in the finite volume, the quasi-particle density is

Annals of Physics 31

  • 100
  • 1965