Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional 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 two-dimensional 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 finite-size 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:
- AC05-00OR22725
- 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 1098-0121
- 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 two-dimensional 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 two-dimensional 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 two-dimensional 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 two-dimensional 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 two-dimensional 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 finite-size 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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Quantum Monte Carlo Calculations for Solids Using Special Points Methods
journal, October 1994
- Rajagopal, G.; Needs, R. J.; Kenny, S.
- Physical Review Letters, Vol. 73, Issue 14
Finite-size analysis of the Fermi liquid properties of the homogeneous electron gas
journal, September 2011
- Holzmann, Markus; Bernu, Bernard; Ceperley, David M.
- Journal of Physics: Conference Series, Vol. 321
Quantum Monte Carlo calculation of the Fermi-liquid parameters in the two-dimensional electron gas
journal, July 1994
- Kwon, Yongkyung; Ceperley, D. M.; Martin, Richard M.
- Physical Review B, Vol. 50, Issue 3
Renormalization factor and effective mass of the two-dimensional electron gas
journal, January 2009
- Holzmann, Markus; Bernu, Bernard; Olevano, Valerio
- Physical Review B, Vol. 79, Issue 4
Ground State of the Electron Gas by a Stochastic Method
journal, August 1980
- Ceperley, D. M.; Alder, B. J.
- Physical Review Letters, Vol. 45, Issue 7, p. 566-569
Geminal wave functions with Jastrow correlation: A first application to atoms
journal, October 2003
- Casula, Michele; Sorella, Sandro
- The Journal of Chemical Physics, Vol. 119, Issue 13
Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid
journal, February 2009
- Drummond, N. D.; Needs, R. J.
- Physical Review B, Vol. 79, Issue 8
Twist-averaged boundary conditions in continuum quantum Monte Carlo algorithms
journal, June 2001
- Lin, C.; Zong, F. H.; Ceperley, D. M.
- Physical Review E, Vol. 64, Issue 1
Quantum chemistry by random walk. H 2 P , H + 3 D 3 h 1 A ′ 1 , H 2 3 Σ + u , H 4 1 Σ + g , Be 1 S
journal, November 1976
- Anderson, James B.
- The Journal of Chemical Physics, Vol. 65, Issue 10
Diffusion quantum Monte Carlo calculation of the quasiparticle effective mass of the two-dimensional homogeneous electron gas
journal, January 2013
- Drummond, N. D.; Needs, R. J.
- Physical Review B, Vol. 87, Issue 4
Quantum Monte Carlo simulations of solids
journal, January 2001
- Foulkes, W. M. C.; Mitas, L.; Needs, R. J.
- Reviews of Modern Physics, Vol. 73, Issue 1
Variance-minimization scheme for optimizing Jastrow factors
journal, August 2005
- Drummond, N. D.; Needs, R. J.
- Physical Review B, Vol. 72, Issue 8
Variational and diffusion quantum Monte Carlo calculations at nonzero wave vectors: Theory and application to diamond-structure germanium
journal, April 1995
- Rajagopal, G.; Needs, R. J.; James, A.
- Physical Review B, Vol. 51, Issue 16
Jastrow correlation factor for atoms, molecules, and solids
journal, December 2004
- Drummond, N. D.; Towler, M. D.; Needs, R. J.
- Physical Review B, Vol. 70, Issue 23
Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions
journal, March 2007
- Umrigar, C. J.; Toulouse, Julien; Filippi, Claudia
- Physical Review Letters, Vol. 98, Issue 11
Erratum: Correlation Energy and Spin Polarization in the 2D Electron Gas [Phys. Rev. Lett. 88 , 256601 (2002)]
journal, September 2003
- Attaccalite, Claudio; Moroni, Saverio; Gori-Giorgi, Paola
- Physical Review Letters, Vol. 91, Issue 10
Optimized trial wave functions for quantum Monte Carlo calculations
journal, April 1988
- Umrigar, C. J.; Wilson, K. G.; Wilkins, J. W.
- Physical Review Letters, Vol. 60, Issue 17
Correlation Energy and Spin Polarization in the 2D Electron Gas
journal, June 2002
- Attaccalite, Claudio; Moroni, Saverio; Gori-Giorgi, Paola
- Physical Review Letters, Vol. 88, Issue 25
Continuum variational and diffusion quantum Monte Carlo calculations
journal, December 2009
- Needs, R. J.; Towler, M. D.; Drummond, N. D.
- Journal of Physics: Condensed Matter, Vol. 22, Issue 2
Quantum Monte Carlo calculation of the energy band and quasiparticle effective mass of the two-dimensional Fermi fluid
journal, December 2009
- Drummond, N. D.; Needs, R. J.
- Physical Review B, Vol. 80, Issue 24
Effects of three-body and backflow correlations in the two-dimensional electron gas
journal, October 1993
- Kwon, Yongkyung; Ceperley, D. M.; Martin, Richard M.
- Physical Review B, Vol. 48, Issue 16
Inhomogeneous backflow transformations in quantum Monte Carlo calculations
journal, December 2006
- López Ríos, P.; Ma, A.; Drummond, N. D.
- Physical Review E, Vol. 74, Issue 6
Multi-Jastrow trial wavefunctions for electronic structure calculations with quantum Monte Carlo
journal, July 2010
- Bouabça, Thomas; Braïda, Benoît; Caffarel, Michel
- The Journal of Chemical Physics, Vol. 133, Issue 4
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