Ab initio path-integral Monte Carlo results for the one-particle spectral function of the warm dense electron gas

Abstract

We present quasi-exact \emph{ab initio} path-integral Monte Carlo results for the Matsubara Green's function of the uniform electron gas (UEG) at finite temperature over a broad range of coupling strengths ($r_s=1,\dots ,10)$. We further extract the static self-energy ${\Sigma }_{\infty }(p)$ and perform an analytic continuation for spectral function $A(p,\omega )$, conclusively ruling out the possibility of distinct satellite features at these conditions. In addition, our work opens up intriguing avenues to study the single-particle spectrum and density of states of real warm dense matter systems based on first principles.