Electron effective mass in the strongly correlated two-dimensional uniform electron fluid from finite-temperature calculations

M. W. C. Dharma-wardana
Phys. Rev. B 84, 155302 – Published 5 October 2011

Abstract

The very low-temperature thermal effective mass m* of para- and ferromagnetic electrons in a uniform two-dimensional (2D) layer is studied. Analytical and numerical results are used to define a partially regularized m* valid to logarithmic accuracy in the sense of Landau for the Hartree-Fock (H-F) approximation. The resulting H-F m* decreases linearly with the electron-disk radius rs. The effective mass including correlation is calculated via a physically transparent formula that uses a classical map of the 2D pair-distribution function (PDF) and the finite-T exchange-correlation free energy Fxc(T). The T=0 PDFs of Gori-Giorgi et al. [Phys. Rev. B 70, 115102 (2004)] and a quantum analog of the potential of mean-force used in the statistical mechanics of classical fluids are invoked. Our results for m* fall well within the results from recent quantum Monte Carlo simulations at T=0, and other results, none of them being a finite-T approach.

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  • Received 17 May 2011

DOI:https://doi.org/10.1103/PhysRevB.84.155302

Published by the American Physical Society

Authors & Affiliations

M. W. C. Dharma-wardana*

  • Institute of Microstructural Sciences, National Research Council of Canada, Ottawa, Canada K1A 0R6

  • *chandre.dharma-wardana@nrc-cnrc.gc.ca

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Issue

Vol. 84, Iss. 15 — 15 October 2011

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