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Frequency dependent kernel
It is known that the exact Vignale Kohn kernel greatly improves the
static polarizabilities of infinite polymers and nanotubes (see JCP 123
174910), but gives bad results for the optical spectra of
semiconductors and metals.
For the low frequency part one needs a frequency dependent kernel,
because Drude-like tails are completely absent in the ALDA. With a
modified Vignale Kohn kernel, neglecting μxc so that it
reduces to the ALDA form in the static limit (see PRB 74 245117) much
better results can be obtained. Band currently only supports the
modified VK kernel in either the QV or CNT parametrization, and it
should only be used for metals.
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