Two-dimensional electron gas: Correlation energy versus density and spin polarization

Authors

  • Paola Gori-Giorgi,

    Corresponding author
    1. INFM Center for Statistical Mechanics and Complexity and Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale A. Moro 2, 00185 Rome, Italy
    • INFM Center for Statistical Mechanics and Complexity and Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale A. Moro 2, 00185 Rome, Italy
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  • Claudio Attaccalite,

    1. INFM Center for Statistical Mechanics and Complexity and Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale A. Moro 2, 00185 Rome, Italy
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  • Saverio Moroni,

    1. INFM Center for Statistical Mechanics and Complexity and Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale A. Moro 2, 00185 Rome, Italy
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  • Giovanni B. Bachelet

    1. INFM Center for Statistical Mechanics and Complexity and Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale A. Moro 2, 00185 Rome, Italy
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Abstract

We propose a simple analytic representation of the correlation energy ϵc for the two-dimensional electron gas, as a function of the density parameter rs and the spin polarization ζ. This new parametrization includes most of the known high- and low-density limits and fits our new fixed-node diffusion Monte Carlo simulations, performed for a wide range of electron densities (1 ≤ rs ≤ 40) and spin-polarization states (0 ≤ ζ ≤ 1). In this way we provide a reliable local-spin-density energy functional for two-dimensional systems. The corresponding correlation potential is discussed and compared with previous models. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2003

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