Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-07-17
Phys. Rev. B 68, 235116 (2003)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 Pages, 4 Figures
Scientific paper
10.1103/PhysRevB.68.235116
We calculate the correlation energy of a two-dimensional homogeneous electron gas using several available approximations for the exchange-correlation kernel $f_{\rm xc}(q,\omega)$ entering the linear dielectric response of the system. As in the previous work of Lein {\it et al.} [Phys. Rev. B {\bf 67}, 13431 (2000)] on the three-dimensional electron gas, we give attention to the relative roles of the wave number and frequency dependence of the kernel and analyze the correlation energy in terms of contributions from the $(q, i\omega)$ plane. We find that consistency of the kernel with the electron-pair distribution function is important and in this case the nonlocality of the kernel in time is of minor importance, as far as the correlation energy is concerned. We also show that, and explain why, the popular Adiabatic Local Density Approximation performs much better in the two-dimensional case than in the three-dimensional one.
Asgari Reza
Davoudi Bahman
Polini Marco
Tosi Mario P.
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