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Paper IPM / Physic / 7235  


Abstract:  
We calculate the correlation energy of a twodimensional homogeneous electron gas using several available approximations for the exchangecorrelation kernel f_{xc}(q,ω) entering the linear dielectric response of the system. As in the previous work of Lein et al. [Phys. Rev. B 67, 13431 (2000)] on the threedimensional 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, iω) plane. We find that consistency of the kernel with the electronpair 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 twodimensional case than in the threedimensional one.
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