Electro-Thermal Simulation of Graphene Nanoribbons Including Self-Heating Effects

An effective method for the electro-thermal simulation of graphene nanoribbons (GNRs) is presented based on the Boltzmann-Poisson formalism coupled with heat conduction equation (HCE). Firstly, the Boltzmann transport equation (BTE) is solved under the relaxation time approximation (RTA). The power density is then used as the Joule-heating source in HCE to calculate the temperature profile along the GNR. After that, the temperature result is sent back to the BTE for updating the distribution function. This process is iterated until self-consistency is achieved. Using this method, the current-voltage (1-V) characteristic of GNRs is simulated. Self-heating of GNR is examined and is found to be non-negligible under high bias condition.