Pair densities at contact in the quantum electron gas

Asgari, Reza; Polini, Marco; Davoudi, B.; Tosi, M. P.

doi:10.1016/s0038-1098(02)00782-2

Cited by 8 publications

(6 citation statements)

References 25 publications

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“…The differences between the jellium ontop pair densities from different approximate methods (including the "extended Overhauser model") are discussed in Refs. 28,29,30.…”

Section: Results From the Overhauser Modelmentioning

confidence: 99%

Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence

Gori‐Giorgi

Savin

2006

Phys. Rev. A

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The combination of density functional theory with other approaches to the many-electron problem through the separation of the electron-electron interaction into a short-range and a long-range contribution is a promising method, which is raising more and more interest in recent years. In this work some properties of the corresponding correlation energy functionals are derived by studying the electron-electron coalescence condition for a modified (long-range-only) interaction. A general relation for the on-top (zero electron-electron distance) pair density is derived, and its usefulness is discussed with some examples. For the special case of the uniform electron gas, a simple parameterization of the on-top pair density for a long-range only interaction is presented and supported by calculations within the "extended Overhauser model". The results of this work can be used to build self-interaction corrected short-range correlation energy functionals.

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“…The differences between the jellium ontop pair densities from different approximate methods (including the "extended Overhauser model") are discussed in Refs. 28,29,30.…”

Section: Results From the Overhauser Modelmentioning

confidence: 99%

Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence

Gori‐Giorgi

Savin

2006

Phys. Rev. A

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“…Effective potentials that shape the geminals have received great theoretical interest recently. [4][5][6][7][8] Sum rules for phase shifts, based on a generalized Hartree-Fock treatment by using the true one-particle momentum distribution function, have also been derived. 9 In our paper, the averages, ͗R l 2 ͑kr͒͘, will still be defined with P 0 ͑k͒, the ideal occupation of geminals.…”

Section: ͑6͒mentioning

confidence: 99%

Spin-resolved pair-distribution functions in an electron gas: A scattering approach based on consistent potentials

et al. 2004

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The spin-resolved pair-functions g ↑↓ ͑r͒ and g ↑↑ ͑r͒ of an interacting unpolarized electron gas are calculated. The calculations are based on geminal representations of two-electron states and physically motivated model potentials, V ↑↓ ͑r͒ and V ↑↑ ͑r͒, in the scattering Schrödinger equations for relative movements. The proper normalization conditions for the pair functions, as natural constraints, are used to obtain consistent effective potentials. Good agreement with data of quantum Monte Carlo treatment on the pair-distribution functions is established. Possible applications of the potentials in other two-and one-particle characteristics are briefly discussed.

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“…High-density (rs → 0) ↑↓ correlation holes computed from the "dressed-dressed" potential of Eq (15). for different values of the spin polarization ζ.…”

mentioning

confidence: 99%

“…For the high-density (r s → 0) limit, they found good agreement with the exact 11,12 g(r) to order r s . Since then, there have been many related studies for the three-or two-dimensional electron gas, 13,14,15,16,17 sometimes using constructions of self-consistent effective interactions following the general "bare-dressed" picture of Overhauser. 3,7 Sum rules for the scattering phase shifts have also been derived.…”

mentioning

confidence: 99%

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Simple physical picture of the Overhauser screened electron-electron interaction

Corona¹,

Gori‐Giorgi²,

Perdew

2004

Phys. Rev. B

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As shown by Overhauser and others, the pair-distribution function g(r) of a many-electron system may be found by solving a two-electron scattering problem with an effective screened electronelectron repulsion V (r). We propose a simple physical picture in which this screened repulsion is the "dressed-dressed" interaction between two neutral objects, each an electron surrounded by its full-coupling exchange-correlation hole. For the effective interaction between two electrons of antiparallel spin in a high-density uniform electron gas of arbitrary spin polarization, we confirm that this picture is qualitatively correct. In contrast, the "bare-dressed" interaction is too repulsive, and does not have the expected symmetry V ↑↓ (r) = V ↓↑ (r). The simple original Overhauser model interaction, independent of the relative spin polarization ζ, does not capture the ζ-dependence of the correlation contribution to g(r = 0).

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Pair densities at contact in the quantum electron gas

Cited by 8 publications

References 25 publications

Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence

Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence

Spin-resolved pair-distribution functions in an electron gas: A scattering approach based on consistent potentials

Simple physical picture of the Overhauser screened electron-electron interaction

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