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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:dx-bw [version v2]

Publication date: Jul 03, 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 2023.103 (2023), https://doi.org/10.24435/materialscloud:dx-bw

Description

First-principles calculations of phonons are often based on the adiabatic approximation and on 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. The exact self-energy involves a product of a bare and a screened electron-phonon vertex [Rev. Mod. Phys. 89, 015003 (2017)]; still, calculations often employ two adiabatically screened vertices, which have been proposed as a reliable approximation for self-energy differences [Phys. Rev. B 82, 165111 (2010)]. We assess the accuracy of both approaches in estimating the phonon spectral functions of model Hamiltonians and the adiabatic low-temperature phonon dispersions of monolayer TaS₂ and doped MoS₂. We find that the approximate method yields excellent corrections at low computational cost, due to its designed error cancellation to first order, while using a bare vertex could in principle improve these results but is challenging in practice. We offer an alternative strategy based on downfolding to partially screened phonons and interactions [Phys. Rev. B 92, 245108 (2015)]. This is a natural scheme to include electron-electron interactions and tackle phonons in strongly correlated materials and the frequency dependence 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:bd5246c0a01d1b772cb31aaded440585
7.1 KiB Installation and usage instructions
qe2screen.patch
MD5md5:f4db7efb11d99364ce27094d5dff6b4b
297.4 KiB Quantum ESPRESSO source-code modifications
requirements.txt
MD5md5:75461d5106cdab50b77520d9fa08024d
59 Bytes List of Python dependencies
fig01.tar.gz
MD5md5:230694522e1fc55762aceafcd3c93cfc
10.0 KiB Python script and data to create Fig. 1
fig02.tar.gz
MD5md5:2f5a62184e252983d3e4e02e9512de2e
20.0 KiB Python script and data to create Fig. 2
fig03.tar.gz
MD5md5:60388fe9b41a63abbeb5d7933d811e3d
1.3 MiB Python script and data to create Fig. 3
fig04.tar.gz
MD5md5:1c7e7e4bcf025c12105cbd6a463fd61f
630.0 KiB Python script and data to create Fig. 4
fig05.tar.gz
MD5md5:2106fe61935a55ffb0bcb2b1ac696a30
1.3 MiB Python script and data to create Fig. 5
fig06.tar.gz
MD5md5:f7435f52cf9ea335d1b276cd266e354f
170.0 KiB Python script and data to create Fig. 6
fig07.tar.gz
MD5md5:84937b5e64d4d091184b1dde0662b87e
930.0 KiB Python script and data to create Fig. 7
fig08.tar.gz
MD5md5:9173835fed40322e998dd3a9405b7b52
360.0 KiB Python script and data to create Fig. 8
fig09.tar.gz
MD5md5:c300086c9d922e59c6a176ee61d4737d
260.0 KiB Python script and data to create Fig. 9
fig10.tar.gz
MD5md5:684fb1301d3256a47d15bad584246169
1.2 MiB Python script and data to create Fig. 10
fig11.tar.gz
MD5md5:7ac41ff36b16a4eb0e50394d8bf68410
590.0 KiB Python script and data to create Fig. 11
fig12.tar.gz
MD5md5:d2b822720f3387f40ebb88df1205fab2
80.0 KiB Python script and data to create Fig. 12
fitQ.tar.gz
MD5md5:f378a5e62f2d6ac24d3b5cc25521b084
20.0 KiB Example of optimization of quadrupole tensors
input.tar.gz
MD5md5:ddddd231931de413535346d11949901a
40.0 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