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ChargeTransport.jl

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Drift-diffusion simulator for semiconductor devices

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ChargeTransport.jl -- Simulating charge transport in semiconductors
================================
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[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.6257906.svg)](https://doi.org/10.5281/zenodo.6257906)

`ChargeTransport.jl` simulates charge transport in semiconductors. To this end, it discretizes
the semiconductor drift-diffusion equations via the Voronoi finite volume method as implemented in [VoronoiFVM.jl](https://github.com/j-fu/VoronoiFVM.jl).

### Breaking Changes in v1.0.0 🚨

Version 1.0.0 introduces several important changes to improve the package's usability and maintainability:

- **New Parameter System**: Parameter files are replaced by parameter structs with explicit access (e.g., `p = parameter_set(); p.foo`)
- **Unit Handling**: Global unit factors are removed in favor of local unit factors from `LessUnitful.jl` (`@local_unitfactors` and `ufac""`)
- **Constants Management**: New globally available dimensionless `constants` object for physical constants
- **API Changes**:
  - `Data` type now takes a `constants` object as key word argument, defaults to standard constants.
  - Thermal voltage `UT` is removed from `Params` and replaced with temperature in relevant methods
  - `eV` not available any more, use explicit `eV = q * V` if needed

### Special features

- heterostructures
- 1D, 2D and 3D simulations
- stationary and transient simulations
- IV curves and scan protocols
- an arbitrary amount of charge carriers may be added
- thermodynamically consistent, physics preserving numerical methods
- different charge carrier statistics per species (Boltzmann, Blakemore, Fermi-Dirac)

`ChargeTransport.jl` is a free software. For research purposes you may use it under the terms of the GNU Affero General Public License (AGPL). As a company you may contact any of the authors directly to obtain a commercial license. If you use this package in your work, you can download the citation information in the "About" section.

![](https://raw.githubusercontent.com/WIAS-PDELib/ChargeTransport.jl/master/docs/src/images/example_3d.gif)

### The following papers rely on `ChargeTransport.jl`

[1.] D. Abdel, P. Farrell and J. Fuhrmann. [Assessing the quality of the excess chemical potential flux scheme for degenerate semiconductor device simulation.](https://link.springer.com/article/10.1007/s11082-021-02803-4) Optical and Quantum Electronics **53**, 163 (2021).

[2.] D. Abdel, P. Vágner, J. Fuhrmann and P. Farrell. [Modelling charge transport in perovskite solar cells: Potential-based and limiting ion depletion.](https://www.sciencedirect.com/science/article/abs/pii/S0013468621009865) Electrochimica Acta 390 (2021).

[3.] D. Abdel, C. Chainais-Hillairet, P. Farrell and M. Herda. [Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells.](https://doi.org/10.1093/imanum/drad034) IMA Journal of Numerical Analysis (2023).

[4.] D. Abdel, N. E. Courtier and P. Farrell. [Volume exclusion effects in perovskite charge transport modeling.](https://doi.org/10.1007/s11082-023-05125-9) Optical and Quantum Electronics **55**, 884 (2023).

[5.] B. Spetzler, D. Abdel, F. Schwierz, M. Ziegler and P. Farrell. [The Role of Vacancy Dynamics in Two-Dimensional Memristive Devices.](https://doi.org/10.1002/aelm.202300635) Advanced Electronic Materials (2023).

[6.] D. Abdel, A. Glitzky and M. Liero. [Analysis of a drift-diffusion model for perovskite solar cells.](https://doi.org/10.3934/dcdsb.2024081) Discrete and Continuous Dynamical Systems - Series B (2024).

[7.] D. Abdel, M. Herda, M. Ziegler, C. Chainais-Hillairet, B. Spetzler, P. Farrell. [Numerical analysis and simulation of lateral memristive devices: Schottky, ohmic, and multi-dimensional electrode models.](
https://doi.org/10.48550/arXiv.2412.15065
) submitted (2024).

[8.] B. Spetzler, E. Spetzler, S. Zamankhani, D. Abdel, P. Farrell, K.-U. Sattler, M. Ziegler. [Physics-Guided Sequence Modeling for Fast Simulation and Design Exploration of 2D Memristive Devices.](https://doi.org/10.48550/arXiv.2505.13882) submitted (2025).

[9.] D. Abdel, J. Relle, T. Kirchartz, P. Jaap, J. Fuhrmann, S. Burger, C. Becker, K. Jäger, P. Farrell. [Unravelling the mystery of enhanced open-circuit voltages in nanotextured perovskite solar cells.](https://doi.org/10.48550/arXiv.2506.10691) submitted (2025).

[10.] D. Abdel, A. Blaustein, C. Chainais-Hillairet, M. Herda, J. Moatti. [Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers.](https://doi.org/10.48550/arXiv.2511.23250) submitted (2025).

ChargeTransport.jl

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