  Transfer characteristics of p-doped graphene/monolayer-MoS2 heterostructure
at 300 K are measured experimentally and analyzed based on a model calculation.
In the model, we first discretize the Poisson equation (PE) into multiple
zones. In each zone the charge density is assumed constant and the PE can be
transformed into a linear equation to determine the chemical potential
self-consistently. To calculate the electrical conductivity, we solve the
Boltzmann transport equation in the relaxation-time approximation using the
inelastic acoustic phonon scattering by solving the Dirac equation. The
relationship between the Dirac voltage (the voltage at which the Fermi level is
located at the Dirac point) and the Fermi energy (i.e. the initial chemical
potential at 0K) is derived. These calculations are performed without and with
optical pumping and the results obtained agree well with the experimental data.
