[gpaw-users] Dielectric function and polarizability of low dimension materials

[Tian Tian]

Dear All,

I have one question concerning the polarizability of calculated by gpaw. In the gpaw tutorial,  https://wiki.fysik.dtu.dk/gpaw/tutorials/dielectric_response/dielectric_response.html, there is an equation relating the imaginary part of dielectric function and polarizability as:
[cid:81EE823F-EA6A-46CF-BBFD-E08100329181 at ethz.ch]
which is also called by the function gpaw.response.df.get_polarizability. I wonder if there is a reference to the concrete proof of this equation? For instance in the Claussius-Mossotti equation of bulk materials, such relation seems not valid:
[cid:CD7E206C-39F0-493B-B3F0-27E94C68C93E at ethz.ch]

I appreciate much your help concerning this issue, and wish there is any publications I can refer to.

Best wishes
Tian
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