Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-10-07
Physics
Condensed Matter
Strongly Correlated Electrons
5 figures, pair distribution dependence with distance is calculated
Scientific paper
10.1088/0953-8984/15/37/002
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 Schr\"{o}dinger 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.
Marinescu Dan C.
Moreno Juana
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