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Author Kwon, Y. ♦ Ceperley, D. M. ♦ Martin, R. M.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ELECTRON GAS ♦ MATHEMATICAL MODELS ♦ COMPUTERIZED SIMULATION ♦ EFFECTIVE MASS ♦ ENERGY LEVELS ♦ EXCITED STATES ♦ GREEN FUNCTION ♦ GROUND STATES ♦ MONTE CARLO METHOD ♦ TWO-DIMENSIONAL CALCULATIONS
Abstract Energies of the ground state and low-lying excited states of the two-dimensional electron gas have been calculated by a transient-estimate Monte Carlo method. This is an exact fermion quantum Monte Carlo method that systematically improves upon the results of a variational energy without imposing nodal constraints. We focus upon the density {ital r}{sub {ital s}}=1, where our previous variational Monte Carlo calculation found qualitative differences in the effective mass from other theoretical approaches. Starting from a wave function with backflow and two-body correlations, the best trial function in our previous variational study, we find a ground-state energy only very slightly lower than the previously reported backflow fixed-node energy, reinforcing the conclusion that backflow wave functions are quite accurate. The effective mass derived from excitation energies does not differ significantly from the variational Monte Carlo results, giving a value of {ital m}{sup {asterisk}}/{ital m}=0.93{plus_minus}0.01, so we conclude that the effective mass is indeed less than bare electron mass for a range of densities around {ital r}{sub {ital s}}=1. {copyright} {ital 1996 The American Physical Society.}
ISSN 01631829
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-03-01
Publisher Department University of Illinois
Publisher Place United States
Journal Physical Review, B: Condensed Matter
Volume Number 53
Issue Number 11
Organization University of Illinois


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