Absorption Calculation using RPA

Deals with issues related to computation of optical spectra in reciprocal space: RPA, TDDFT, local field effects.

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ctyrpenou
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Joined: Thu Jan 25, 2024 12:22 pm

Absorption Calculation using RPA

Post by ctyrpenou » Wed Feb 21, 2024 6:07 pm

Dear Yambo community,

I am new to YAMBO and I performed calculations using IP as starting point then I moved into RPA
then in case of IP I used the attached formula in order to get my absorption curve (e1 is the real
part of dielectric function and e2 is the imaginary one), moving into RPA
tutorial I noticed that in the first lines of the tutorial mentioned that the imaginary part of the macroscopic
dielectric function as a function of frequency is equal to absorption as a function of frequency.
So my question is, should use the attached absorption formula to plot my absorption curve
while I perform calculation under RPA or not ? and how the Im(e(omega)) is related to abs(omega)?

Thank you in advance!

Best regards,
Christos Tyrpenou
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MSc. Christos Tyrpenou
PhD Candidate
CNRS Institut des Sciences Chimiques de Rennes, France
Université de Rennes 1
https://iscr.univ-rennes.fr/

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Daniele Varsano
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Re: Absorption Calculation using RPA

Post by Daniele Varsano » Fri Feb 23, 2024 11:55 am

Dear Christos,

here it is a matter of nomenclature.
The imaginary part of epsilon is related to the absorption, ie its pole are the excitation energies. What you reported is the extinction coefficient, and yes you can apply it also in the RPA approximation.

Best,
Daniele
Dr. Daniele Varsano
S3-CNR Institute of Nanoscience and MaX Center, Italy
MaX - Materials design at the Exascale
http://www.nano.cnr.it
http://www.max-centre.eu/

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claudio
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Re: Absorption Calculation using RPA

Post by claudio » Fri Feb 23, 2024 1:16 pm

Dear Christos,

you can find all formula to transform epsilon in reflectivity, absorbance etc.. in this book

Electrodynamics Of Solids -
Dressel, Gruner

that you can download here:

https://www.pi1.uni-stuttgart.de/img/he ... Gruner.pdf

moreover in this repository

https://github.com/yambo-code/yambo-minipy

you can find a script called epsilon/eps_converter.py

that transform epsilon.

best
Claudio
Claudio Attaccalite
[CNRS/ Aix-Marseille Université/ CINaM laborarory / TSN department
Campus de Luminy – Case 913
13288 MARSEILLE Cedex 09
web site: http://www.attaccalite.com

ctyrpenou
Posts: 2
Joined: Thu Jan 25, 2024 12:22 pm

Re: Absorption Calculation using RPA

Post by ctyrpenou » Fri Feb 23, 2024 1:47 pm

Dear Daniele and Claudio

Thank you very much for your response and literature sharing.

Best regards
Christos
MSc. Christos Tyrpenou
PhD Candidate
CNRS Institut des Sciences Chimiques de Rennes, France
Université de Rennes 1
https://iscr.univ-rennes.fr/

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