Quantum Monte Carlo calculation of the Fermi-liquid parameters in the two-dimensional electron gas

Journal Article · Fri Jul 15 04:00:00 EDT 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.1684· OSTI ID:7032739

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-Champagne, Urbana, Illinois 61801 (United States)
2. Department of Physics and National Center for Supercomputing Applications, University of Illinois at Urbana-Champagne, Urbana, Illinois 61801 (United States)

Excitations of the two-dimensional electron gas, including many-body effects, are calculated with a variational Monte Carlo method. Correlated sampling is introduced to calculate small energy differences between different excitations. The usual pair-product (Slater-Jastrow) trial wave function is found to lack certain correlations entirely so that backflow correlation is crucial. From the excitation energies calculated here, we determine Fermi-liquid parameters and related physical quantities such as the effective mass and the Lande [ital g] factor of the system. Our results for the effective mass are compared with previous analytic calculations.

• DOE Contract Number: FG02-91ER45439
• OSTI ID: 7032739
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 50:3; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
COLLECTIVE EXCITATIONS
EFFECTIVE MASS
ELECTRON GAS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITATION
EXCITED STATES
FERMI GAS
FLUIDS
GASES
LANDE FACTOR
MASS
MONTE CARLO METHOD
TWO-DIMENSIONAL CALCULATIONS