Extending the random phase approximation with renormalized ...
Extending the random phase approximation with renormalized ...
Extending the random phase approximation with renormalized ...
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Spin<br />
There is not a unique way to generalize to spin-polarized systems<br />
For a spinpaired system it is straightforward to show that<br />
=[ ALDA<br />
f Hx<br />
f Hxc = 1<br />
4 ∑σ σ ' f σ σ '<br />
Hxc<br />
The ALDA Hartree-exchange kernel is<br />
V +2f ALDA<br />
x [2n↑ ] V<br />
V V +2f x<br />
ALDA [2n↓]]<br />
It is clear that we cannot simply introduce cutoff on <strong>the</strong> diagonal