Static linear response function real?
Posted: Tue Oct 28, 2025 2:10 pm
Hi,
I have a question concerning the linear response function chi, calculated at the Hartree level (i.e. f_xc = 0) and using causal Greens functions.
All static quantities (omega = 0) should in principle be real for all momenta q
So for chi(q,omega), which is the fourier transform of chi(r,t) this should also apply for omega=0 and thus also for epsilon^{-1}_{G,G'}(q, omega=0).
Now I have computed this quantity (epsilon) for a MoS2 monolayer and find some small imaginary part (for G=G' and q .neq. 0).
Why is that? Is the i0+ .neq. 0 in the cheatsheet slide "3) With local fields (RPA-LFE)"?
Thanks in advance!
Best,
Franz
I have a question concerning the linear response function chi, calculated at the Hartree level (i.e. f_xc = 0) and using causal Greens functions.
All static quantities (omega = 0) should in principle be real for all momenta q
So for chi(q,omega), which is the fourier transform of chi(r,t) this should also apply for omega=0 and thus also for epsilon^{-1}_{G,G'}(q, omega=0).
Now I have computed this quantity (epsilon) for a MoS2 monolayer and find some small imaginary part (for G=G' and q .neq. 0).
Why is that? Is the i0+ .neq. 0 in the cheatsheet slide "3) With local fields (RPA-LFE)"?
Thanks in advance!
Best,
Franz