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Analytical approximation for chemical potential in organic materials with Gaussian density of states

Charge carrier mobility in disordered organic materials depends on the chemical potential. Chemical potential has an implicit functional dependence on the carrier concentration and the density of states. However, for efficient calculation of mobility in simulation programs it is highly useful to have an explicit and accurate approximation for the chemical potential. In this study, we focus on analytical approximation for the chemical potential in organic materials with Gaussian disorder and provide an accurate expression in both non-degenerate and degenerate regimes.