Transient-estimate Monte Carlo in the two-dimensional electron gas

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.53.7376· OSTI ID:279497

Kwon, Y ^[1]; Ceperley, D M ^[2]; Martin, R M ^[3]

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1. Department of Physics, Kon-Kuk University, Seoul 133-701 (Korea)
2. Department of Physics and National Center for Supercomputing Applications, University of Illinois, Urbana, Illinois 61801 (United States)
3. Department of Physics and Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801 (United States)

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.}

• Research Organization: University of Illinois
• DOE Contract Number: FG02-91ER45439
• OSTI ID: 279497
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 11 Vol. 53; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMPUTERIZED SIMULATION
EFFECTIVE MASS
ELECTRON GAS
ENERGY LEVELS
EXCITED STATES
GREEN FUNCTION
GROUND STATES
MATHEMATICAL MODELS
MONTE CARLO METHOD
TWO-DIMENSIONAL CALCULATIONS