Effects of three-body and backflow correlations in the two-dimensional electron gas

Journal Article · Fri Oct 15 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.12037· OSTI ID:6129443

Kwon, Y ^[1]; Ceperley, D M ^[2]; Martin, R M ^[1]

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1. Department of Physics and Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801 (United States)
2. Department of Physics and National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801 (United States)

We investigate the effects of three-body and backflow correlations on ground-state properties of the two-dimensional electron gas by both variational and fixed-node Green's function Monte Carlo methods. It is found that the backflow effect is dominant over the three-body effect at high density ([ital r][sub [ital s]][similar to]1) while they are of equal importance at the lowest density considered ([ital r][sub [ital s]][similar to]20). With these correlations, we find significant improvements in both variational and fixed-node energies over the Slater-Jastrow results which consider only two-body correlation. The effects are comparable to those in bulk [sup 3]He. We present an analytic expression for the correlation energy of the two-dimensional electron gas as a function of the density.

• OSTI ID: 6129443
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:16; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665410* -- Superconductivity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
CORRELATIONS
ELECTRON DENSITY
ELECTRON GAS
ELECTRON-ELECTRON INTERACTIONS
ENERGY LEVELS
EVEN-ODD NUCLEI
FLUIDS
FUNCTIONS
GASES
GREEN FUNCTION
GROUND STATES
HELIUM 3
HELIUM ISOTOPES
INTERACTIONS
ISOTOPES
LEPTON-LEPTON INTERACTIONS
LIGHT NUCLEI
MONTE CARLO METHOD
NUCLEI
PARTICLE INTERACTIONS
STABLE ISOTOPES
TWO-DIMENSIONAL CALCULATIONS