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Phonon-limited mobility for electrons and holes in highly-strained silicon

Nicolas Roisin1*, Guillaume Brunin2,3*, Gian-Marco Rignanese3,4*, Denis Flandre1*, Jean-Pierre Raskin1*, Samuel Poncé3,4*

1 Institute of Information and Communication Technologies, Electronics and Applied Mathematics, Université catholique de Louvain, Place du Levant 3, 1348 Louvain-la-Neuve, Belgium

2 Matgenix, A6K Advanced Engineering Center, Square des Martyrs 1, 6000 Charleroi, Belgium

3 European Theoretical Spectroscopy Facility, Institute of Condensed Matter and Nanosciences, Université catholique de Louvain, Chemin des Etoiles 8, 1348 Louvain-la-Neuve, Belgium

4 WEL Research Institute, Avenue Pasteur 6, 1300 Wavre, Belgium

* Corresponding authors emails: nicolas.roisin@uclouvain.be, guillaume.brunin@matgenix.com, gian-marco.rignanese@uclouvain.be, denis.flandre@uclouvain.be, jean-pierre.raskin@uclouvain.be, samuel.ponce@uclouvain.be
DOI10.24435/materialscloud:f7-p6 [version v3]

Publication date: Apr 03, 2024

How to cite this record

Nicolas Roisin, Guillaume Brunin, Gian-Marco Rignanese, Denis Flandre, Jean-Pierre Raskin, Samuel Poncé, Phonon-limited mobility for electrons and holes in highly-strained silicon, Materials Cloud Archive 2024.52 (2024), https://doi.org/10.24435/materialscloud:f7-p6

Description

Strain engineering is a widely used technique for enhancing the mobility of charge carriers in semiconductors, but its effect is not fully understood. In this work, we perform first-principles calculations to explore the variations of the mobility of electrons and holes in silicon upon deformation by uniaxial strain up to 2% in the [100] crystal direction. We compute the π₁₁ and π₁₂ electron piezoresistances based on the low-strain change of resistivity with temperature in the range 200 K to 400 K, in excellent agreement with experiment. We also predict them for holes which were only measured at room temperature. Remarkably, for electrons in the transverse direction, we predict a minimum room-temperature mobility about 1200 cm²/Vs at 0.3% uniaxial tensile strain while we observe a monotonous increase of the longitudinal transport, reaching a value of 2200 cm²/Vs at high strain. We confirm these findings experimentally using four-point bending measurements, establishing the reliability of our first-principles calculations. For holes, we find that the transport is almost unaffected by strain up to 0.3% uniaxial tensile strain and then rises significantly, more than doubling at 2% strain. Our findings open new perspectives to boost the mobility by applying a stress in the [100] direction. This is particularly interesting for holes for which shear strain was thought for a long time to be the only way to enhance the mobility.

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Files

File name Size Description
code.zip
MD5md5:6c13cfb3ec79c4a96b6606f243fef1cc
154.2 KiB Python and bash script used in this work
data.zip
MD5md5:d7170bffa4f76474495d3997e346ada1
156.9 MiB ABINIT input and output files for each computations
README.md
MD5md5:92a22b6af01f02f4f566e85280700476
2.2 KiB Description of the files and directories

License

Files and data are licensed under the terms of the following license: Creative Commons Attribution Non Commercial 4.0 International.
Metadata, except for email addresses, are licensed under the Creative Commons Attribution Share-Alike 4.0 International license.

External references

Preprint (Preprint where the data is discussed and in which the method is described)
N. Roisin, G. Brunin, G.-M. Rignanese, D. Flandre, J.-P. Raskin, and S. Poncé (2024) (in preparation)

Keywords

silicon strain mobility piezoresistive first principles