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Phonon self-energy corrections: To screen, or not to screen

Jan Berges1*, Nina Girotto2, Tim Wehling3,4, Nicola Marzari5,6,1, Samuel Poncé7,6

1 U Bremen Excellence Chair, Bremen Center for Computational Materials Science, and MAPEX Center for Materials and Processes, University of Bremen, D-28359 Bremen, Germany

2 Institute of Physics, HR-10000 Zagreb, Croatia

3 I. Institute of Theoretical Physics, University of Hamburg, D-22607 Hamburg, Germany

4 The Hamburg Centre for Ultrafast Imaging, D-22761 Hamburg, Germany

5 Theory and Simulation of Materials (THEOS), École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland

6 National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland

7 Institute of Condensed Matter and Nanosciences, Université catholique de Louvain, BE-1348 Louvain-la-Neuve, Belgium

* Corresponding authors emails: jan.berges@uni-bremen.de
DOI10.24435/materialscloud:9f-dn [version v1]

Publication date: Mar 08, 2023

How to cite this record

Jan Berges, Nina Girotto, Tim Wehling, Nicola Marzari, Samuel Poncé, Phonon self-energy corrections: To screen, or not to screen, Materials Cloud Archive 2023.39 (2023), https://doi.org/10.24435/materialscloud:9f-dn

Description

First-principles calculations of phonons are often based on the adiabatic approximation, and Brillouin-zone samplings that might not always be sufficient to capture the subtleties of Kohn anomalies. These shortcomings can be addressed through corrections to the phonon self-energy arising from the low-energy electrons. A well-founded correction method exists [Phys. Rev. B 82, 165111 (2010)], which only relies on adiabatically screened quantities. However, many-body theory suggests to use one bare electron-phonon vertex in the phonon self-energy [Rev. Mod. Phys. 89, 015003 (2017)] to avoid double counting. We assess the accuracy of both approaches in estimating the low-temperature phonons of monolayer TaS₂ and doped MoS₂. We find that the former yields excellent results at low computational cost due to its designed error cancellation to first order, while the latter becomes exact in the many-body limit but is not accurate in approximate contexts. We offer a third strategy based on downfolding to partially screened phonons and interactions [Phys. Rev. B 92, 245108 (2015)] to keep both advantages. This is the natural scheme to include the electron-electron interaction and tackle phonons in strongly correlated materials and nonadiabatic renormalization of the electron-phonon vertex. This record contains (i) a patch for the PHonon and EPW codes of Quantum ESPRESSO, (ii) the Python scripts and data necessary to create all figures shown in our paper, (iii) a minimal working example of the optimization of quadrupole tensors, and (iv) the Quantum ESPRESSO input files we have used.

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Files

File name Size Description
README.md
MD5md5:70499f843ea92442729fb2caea309527
7.0 KiB Installation and usage instructions
qe2screen.patch
MD5md5:6d6762f6910e250ac72ed75552986945
296.1 KiB Quantum ESPRESSO source-code modifications
requirements.txt
MD5md5:d9a4c00e608a3537bf4642d3df2ad4da
59 Bytes List of Python dependencies
fig01.tar.gz
MD5md5:c60c28dbaa8978c7b5f53bcc49692824
1.2 KiB Python script and data to create Fig. 1
fig02.tar.gz
MD5md5:5ccbcb726dc4d127e0cd1785f9011f0c
1.3 KiB Python script and data to create Fig. 2
fig03.tar.gz
MD5md5:a74c6d6f5f88f5810ddf663cd16c8543
346.9 KiB Python script and data to create Fig. 3
fig04.tar.gz
MD5md5:f4e270639430063f692d693c023e159f
117.4 KiB Python script and data to create Fig. 4
fig05.tar.gz
MD5md5:892b890550167c8199e42f2d3f18ba17
387.3 KiB Python script and data to create Fig. 5
fig06.tar.gz
MD5md5:156f23a5c536abecdce504c68d246135
31.5 KiB Python script and data to create Fig. 6
fig07.tar.gz
MD5md5:8fbc989f96ac45e408322b8479e68898
217.7 KiB Python script and data to create Fig. 7
fig08.tar.gz
MD5md5:ed653639bfe8151db1dc3fdcf16ffc4f
96.0 KiB Python script and data to create Fig. 8
fig09.tar.gz
MD5md5:d85033bd2de7ef362db358c3b557692d
55.9 KiB Python script and data to create Fig. 9
fig10.tar.gz
MD5md5:5c4cfe42cf5cff5e652013170510c229
228.8 KiB Python script and data to create Fig. 10
fig11.tar.gz
MD5md5:505577b648c8c496b6863d798e512d0e
149.2 KiB Python script and data to create Fig. 11
fitQ.tar.gz
MD5md5:cee0f6719bc9f2870867f6f7637fd4d1
3.3 KiB Example of optimization of quadrupole tensors
input.tar.gz
MD5md5:f0bbc234d05b8adeccb1aa9a9d5bdb09
3.3 KiB Quantum ESPRESSO input files

License

Files and data are licensed under the terms of the following license: GNU General Public License v2.0 or later.
Metadata, except for email addresses, are licensed under the Creative Commons Attribution Share-Alike 4.0 International license.

Keywords

MARVEL/DD3 SNSF H2020 PRACE electron-phonon coupling first principles phonons 2D materials