Asking for help about the relationships bwtween alpla_2D(w) and alpha=-X/q^2
Posted: Thu Jun 09, 2022 6:38 am
In official website tutorial http://www.yambo-code.org/wiki/index.ph ... al_systems, it shows that “For a 2D system, the macroscopic polarizability (called here 'o-2D_WR_WC.alpha_q1_diago_bse') which is a well defined quantity strictly related to optical conductivity, or absorbance, is defined as attachment below” However, I find some topics show that "including the coulomb cutoff yambo print in output alpha defined as alpha=-X/q^2 where X is the response function."
Question 1: What's the relationship between two equations ?? I can't find more detailed derivation process about them, especially for the equation in the attachment below .
Question 2: Is the imaginary part of the GW and BSE polarizabilities obtained from "o-2D_WR_WC.alpha_q1_diago_bse" obtained via dielectric function Epsilon ε(q) = 1 + 2πα_2D|q|[PHYS. REV. B 84, 085406 (2011)] ? If not, how can I obtain the imaginary part of dielectric function in a 2D system ? If yes, the q tends to be 0, and the Epsilon is alway 1 ?
Thanks for your attentions. Best wish to you !
Question 1: What's the relationship between two equations ?? I can't find more detailed derivation process about them, especially for the equation in the attachment below .
Question 2: Is the imaginary part of the GW and BSE polarizabilities obtained from "o-2D_WR_WC.alpha_q1_diago_bse" obtained via dielectric function Epsilon ε(q) = 1 + 2πα_2D|q|[PHYS. REV. B 84, 085406 (2011)] ? If not, how can I obtain the imaginary part of dielectric function in a 2D system ? If yes, the q tends to be 0, and the Epsilon is alway 1 ?
Thanks for your attentions. Best wish to you !