ChargeTransport.jl – Simulating charge transport in semiconductors

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.

Special features

• heterostructures
• 1D, 2D and 3D simulations
• stationary and transient simulations
• IV curves and scan protocols
• an arbitrary amount of charge carriers (electrons, heavy holes, light holes, ions, ...)
• thermodynamically consistent, physics preserving numerical methods
• different charge carrier statistics per species (Boltzmann, Blakemore, Fermi-Dirac)
• Auger, radiative, Shockley-Read-Hall recombination including transient traps
• uniform and Beer-Lambert generation

Installation and first steps

The installation can easily be done via the Julia REPL with the following commands

julia> using Pkg
julia> Pkg.add("ChargeTransport")

We recommend to have a look at the example files:

• van Roosbroeck system
• • Example 1: Stationary 1D problem (region doping)
  • Example 2: Stationary 1D problem (nodal doping)
• Perovskite solar cell
• • Example 1: Graded interfaces
  • Example 2: Linear IV scan protocol
  • Example 3: Illumination
  • Example 4: Multi-dimensional problems

You can load an example as follows

julia> include("Ex103_PSC.jl")
julia> Ex103_PSC.main()
julia> Ex103_PSC.main(plotting = true) # show plots

Since the examples are encapsulated into modules, you can load as many examples as you wish. If you would like to modify one of the examples, consider using Revise.jl and includet.

Literature

The simulations in the following papers are based 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. 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. Electrochimica Acta 390 (2021).