Ab InitioQuantum Monte Carlo Simulation of the Warm Dense Electron Gas in the Thermodynamic Limit

We perform ab initio quantum Monte Carlo (QMC) simulations of the warm dense uniform electron gas in the thermodynamic limit. By combining QMC data with the linear response theory, we are able to remove finite-size errors from the potential energy over the substantial parts of the warm dense regime, overcoming the deficiencies of the existing finite-size corrections by Brown et al. Phys. Rev. Lett. 110, 146405 (2013). Extensive new QMC results for up to N=1000 electrons enable us to compute the potential energy V and the exchange-correlation free energy Fₗ₂ of the macroscopic electron gas with an unprecedented accuracy of |ΔV|/|V|, |ΔFₗ₂|/|F|ₗ₂∼10^-3. A comparison of our new data to the recent parametrization of Fₗ₂ by Karasiev et al. Phys. Rev. Lett. 112, 076403 (2014) reveals significant deviations to the latter.