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

N. D. Drummond and R. J. Needs
Phys. Rev. B 88, 035133 – Published 25 July 2013

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.

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  • Received 16 January 2013

DOI:https://doi.org/10.1103/PhysRevB.88.035133

©2013 American Physical Society

Authors & Affiliations

N. D. Drummond

  • Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom

R. J. Needs

  • TCM Group, Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom

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Issue

Vol. 88, Iss. 3 — 15 July 2013

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