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<i>Ab Initio</i> Path Integral Monte Carlo Simulations of the Uniform Electron Gas on Large Length Scales

Tobias Dornheim, Sebastian Schwalbe, Zhandos A. Moldabekov, Jan Vorberger, P. Tolias

2024The Journal of Physical Chemistry Letters29 citationsDOIOpen Access PDF

Abstract

High Resolution Image Download MS PowerPoint Slide The accurate description of non-ideal quantum many-body systems is of prime importance for a host of applications within physics, quantum chemistry, materials science, and related disciplines. At finite temperatures, the gold standard is given by ab initio path integral Monte Carlo (PIMC) simulations, which do not require any empirical input but exhibit an exponential increase in the required computation time for Fermionic systems with an increase in system size N . Very recently, computing Fermionic properties without this bottleneck based on PIMC simulations of fictitious identical particles has been suggested. In our work, we use this technique to perform very large ( N ≤ 1000) PIMC simulations of the warm dense electron gas and demonstrate that it is capable of providing a highly accurate description of the investigated properties, i.e., the static structure factor, the static density response function, and the local field correction, over the entire range of length scales.

Topics & Concepts

Path integral Monte CarloMonte Carlo methodStatistical physicsPhysicsAb initioQuantum Monte CarloFermi gasQuantumBottleneckPath integral formulationWarm dense matterElectronQuantum mechanicsMathematicsComputer scienceStatisticsEmbedded systemQuantum, superfluid, helium dynamicsAdvanced Chemical Physics StudiesPhysics of Superconductivity and Magnetism