Since the discovery of graphene, a great number of studies have demonstrated exotic phenomena based on electrical properties of two-dimensional (2D) materials. Although 2D material systems particularly have a van der Waals (vdW) gap, it has been mostly neglected to understand experimentally observed longitudinal and Hall conductivities, usually denoted by σ_xx and σ_xy, respectively. To include phenomena related to vertical transport related to the vdW gaps, we develop a simulation tool on time-dependent voltage distribution, which can reproduce real situations in vdW-based devices. For that, we firstly propose a simulation model to account for not only the conventional fixed resistivity, but also a variable resistivity depending on interlayer voltage differences. We finally visualize the current distribution as a function of time under different voltage bias with our simulation. The developed simulation based on the resistance model can provide a good template to understand the dynamics on electrical properties of 2D-based systems.

Figure 1. The schematic image of the simulation and current density distribution obtained by the simulation.