Electrical conductivity
Theory behind electron simulations
Essentially, we want to solve the Boltzmann transport equation:

We use the relaxation time approximation to compute the collision term:

And we can compute the average time of flight i.e. the time it takes for an electron to travel from one side of the structure to another. Once is known, we can compute the physical quantities:

Also, we want our prediction to match the bulk electron conductivity before we proceed to the calculations on nanostructures, so we need to compute the mapping constant as:

See additional details in the Ref. [1].
References
Priyadarshia and Neophytou, J. Appl. Phys. 133, 054301 (2023)
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