Calculate the contact potential
The contact potential $V_0$ is given by:
$$V_0 = \frac{kT}{q} \ln\left(\frac{N_A N_D}{n_i^2}\right)$$
where $k$ is Boltzmann's constant ($1.38 \times 10^{-23} J/K$), $T$ is the temperature (300K), $q$ is the elementary charge ($1.6
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