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Pair distribution function in a two-dimensional electron gas

Juana Moreno·D. C. Marinescu
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Abstract

We calculate the pair distribution function, $g(r)$, in a two-dimensional electron gas and derive a simple analytical expression for its value at the origin as a function of $r_s$. Our approach is based on solving the Schrödinger equation for the two-electron wave function in an appropriate effective potential, leading to results that are in good agreement with Quantum Monte Carlo data and with the most recent numerical calculations of $g(0)$. [C. Bulutay and B. Tanatar, Phys. Rev. B {\bf 65}, 195116 (2002)] We also show that the spin-up spin-down correlation function at the origin, $g_{\uparrow \downarrow}(0)$, is mainly independent of the degree of spin polarization of the electronic system.

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Juana Moreno, D. C. Marinescu. 2003-05-01. Pair distribution function in a two-dimensional electron gas. https://doi.org/10.1088/0953-8984%2F15%2F37%2F002

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