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Convergence wrt # q points and broadening parameter

Posted: Wed Feb 10, 2021 4:13 pm
by physliebe
Hello all,

I'd like to ask about the convergence of the scattering rates wrt # q points and broadening parameter (\eta).

From Fig. S2(a) of Ponce et al., Phys. Rev. B 97, 121201(R) (2018), I understand that the scattering rates (where the mobility is plotted) will diverge as the \eta approaches zero (I suppose for each data point in that figure, the # q points is large enough). On contrary, according to Zhou et al., PRB 94, 201201(R) (2016), by decreasing the \eta and increasing the # q points, the scattering rates will eventually become converged, i.e., the \eta->0 limit exists.

I fee like these two arguments are very different. Could you please help me clarify? Thanks.

Hyuan

Re: Convergence wrt # q points and broadening parameter

Posted: Wed Feb 10, 2021 5:01 pm
by sponce
Dear Hyuan,

Thank you for your question.

The Fig.S2 in my paper is done at fixed fine k and q interpolated grids.
If instead you increase the k/q grids when you decrease the smearing, it should indeed converge.
I think that the \eta->0 limit exists for a grid density -> infinity.

Best wishes,
Samuel

Re: Convergence wrt # q points and broadening parameter

Posted: Wed Feb 10, 2021 5:07 pm
by physliebe
Dear Samuel,

Thank you for your explaination.

Best regards,
Hyuan