Quantum Monte Carlo calculation of the Fermi liquid parameters of the twodimensional homogeneous electron gas
Abstract
Fermi liquid theory is the basic paradigm within which we understand the normal behavior of interacting electron systems, but quantitative values for the parameters that occur in this theory are currently unknown in many important cases. One such case is the twodimensional homogeneous electron gas (2D HEG), which is realized in a wide variety of semiconductor devices. We have used quantum Monte Carlo (QMC) methods to calculate the Landau interaction functions between pairs of quasiparticles. We use these to study the Fermi liquid parameters, finding that finitesize effects represent a serious obstacle to the direct determination of Fermi liquid parameters in QMC calculations. We have used QMC data in the literature for other properties of the 2D HEG to assemble a set of “best available” values for the Fermi liquid parameters.
 Authors:

 Lancaster Univ., Lancaster (United Kingdom). Dept. of Physics
 Univ. of Cambridge (United Kingdom). Cavendish Lab.
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1565050
 Alternate Identifier(s):
 OSTI ID: 1104319
 Grant/Contract Number:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. B, Condensed Matter and Materials Physics
 Additional Journal Information:
 Journal Volume: 88; Journal Issue: 3; Journal ID: ISSN 10980121
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics
Citation Formats
Drummond, N. D., and Needs, R. J. Quantum Monte Carlo calculation of the Fermi liquid parameters of the twodimensional homogeneous electron gas. United States: N. p., 2013.
Web. doi:10.1103/physrevb.88.035133.
Drummond, N. D., & Needs, R. J. Quantum Monte Carlo calculation of the Fermi liquid parameters of the twodimensional homogeneous electron gas. United States. doi:10.1103/physrevb.88.035133.
Drummond, N. D., and Needs, R. J. Thu .
"Quantum Monte Carlo calculation of the Fermi liquid parameters of the twodimensional homogeneous electron gas". United States. doi:10.1103/physrevb.88.035133. https://www.osti.gov/servlets/purl/1565050.
@article{osti_1565050,
title = {Quantum Monte Carlo calculation of the Fermi liquid parameters of the twodimensional homogeneous electron gas},
author = {Drummond, N. D. and Needs, R. J.},
abstractNote = {Fermi liquid theory is the basic paradigm within which we understand the normal behavior of interacting electron systems, but quantitative values for the parameters that occur in this theory are currently unknown in many important cases. One such case is the twodimensional homogeneous electron gas (2D HEG), which is realized in a wide variety of semiconductor devices. We have used quantum Monte Carlo (QMC) methods to calculate the Landau interaction functions between pairs of quasiparticles. We use these to study the Fermi liquid parameters, finding that finitesize effects represent a serious obstacle to the direct determination of Fermi liquid parameters in QMC calculations. We have used QMC data in the literature for other properties of the 2D HEG to assemble a set of “best available” values for the Fermi liquid parameters.},
doi = {10.1103/physrevb.88.035133},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 3,
volume = 88,
place = {United States},
year = {2013},
month = {7}
}
Web of Science
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Works referencing / citing this record:
Quantum Monte Carlo calculations of energy gaps from first principles
journal, August 2018
 Hunt, R. J.; Szyniszewski, M.; Prayogo, G. I.
 Physical Review B, Vol. 98, Issue 7