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Permutation blocking path integral Monte Carlo simulations of degenerate electrons at finite temperature
Author(s) -
Dornheim Tobias,
Groth Simon,
Bonitz Michael
Publication year - 2019
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.201800157
Subject(s) - physics , monte carlo method , path integral monte carlo , electron , degenerate energy levels , propagator , statistical physics , fermion , warm dense matter , quantum monte carlo , path integral formulation , coulomb , quantum mechanics , quantum electrodynamics , mathematics , quantum , statistics
We analyse the simulation of strongly degenerate electrons at finite temperature using the recently introduced permutation blocking path integral Monte Carlo (PB‐PIMC) method [T. Dornheim et al., New J. Phys . 17 , 073017 (2015)]. As a representative example, we consider electrons in a harmonic confinement and carry out simulations for up to P = 2000 so‐called imaginary‐time propagators – an important convergence parameter within the PIMC formalism. This allows us to study the P ‐dependence of different observables of the configuration space in the Monte Carlo simulations and of the fermion sign problem. We find a surprisingly persisting effect of the permutation blocking for large P , which is explained by comparing different length scales. Finally, we touch upon the uniform electron gas in the warm dense matter regime.