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Polaron hopping through piecewise-linear functionals

Stefano Falletta1*, Alfredo Pasquarello1*

1 Chaire de Simulation à l'Echelle Atomique (CSEA), Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

* Corresponding authors emails: stefano.falletta@epfl.ch, alfredo.pasquarello@epfl.ch
DOI10.24435/materialscloud:fy-86 [version v1]

Publication date: Apr 28, 2023

How to cite this record

Stefano Falletta, Alfredo Pasquarello, Polaron hopping through piecewise-linear functionals, Materials Cloud Archive 2023.70 (2023), doi: 10.24435/materialscloud:fy-86.


We use piecewise-linear functionals to study the polaron energy landscape and hopping rates in 𝜷-Ga₂O₃, which we adopt as an example of an anisotropic material hosting multiple polaronic states. We illustrate various functionals for polaron localization, including a hybrid functional and two types of semilocal functionals, and discuss how to ensure the piecewise linearity condition. Then, we determine the formation energies of stable polarons, and show that single-site and multi-site polaronic states can be found in close energetic competition. We calculate the hyperfine and superhyperfine parameters associated with each polaron, and discuss the comparison with experiment. Next, we perform nudged-elastic-band calculations to determine energy landscapes and hole transfer rates of all first-nearest-neighbor polaron hoppings. We show that when the piecewise linearity condition is ensured polaron properties are robust upon variation of the functional adopted, including formation energies, energy barriers, and charge transfer rates. This supports the use of semilocal functionals for calculating polaron transport properties.

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File name Size Description
122.6 KiB Bulk and polaron structures obtained with the various piecewise-linear functionals
890.7 KiB NEB trajectories and energy profiles, as obtained with gammaDFT and DFT+U


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External references

Journal reference (Paper in which the method is described)


density-functional theory polarons piecewise linearity DFT+U hybrid functionals gammaDFT self-interaction polaron hopping

Version history:

2023.70 (version v1) [This version] Apr 28, 2023 DOI10.24435/materialscloud:fy-86