Monte Carlo simulations of the electron short-range quantum ordering in Coulomb systems: Reducing the "fermionic sign problem"
Plasma Physics
2022-01-05 v1
Abstract
To account for the interference effects of the Coulomb and exchange interactions of electrons a new path integral representation of the density matrix has been developed in the canonical ensemble at finite temperatures. The developed representation allows to reduce the notorious ``fermionic sign problem'' in the Monte Carlo simulations of fermionic systems. The obtained results for pair distribution functions in plasma and uniform electron gas demonstrate the short-range quantum ordering of electrons associated with exchange excitons in the literature. This fine physical effect was not observed earlier in standard path integral Monte Carlo simulations.
Keywords
Cite
@article{arxiv.2105.04198,
title = {Monte Carlo simulations of the electron short-range quantum ordering in Coulomb systems: Reducing the "fermionic sign problem"},
author = {Vladimir Filinov and Pavel Levashov and Alexander Larkin},
journal= {arXiv preprint arXiv:2105.04198},
year = {2022}
}