  In this paper we present a method to numerically study transverse Hall
conductances using a two-terminal setup. Using nonlinear transport concepts we
find that the Hall voltage dependence on the model parameters can be
investigated from the difference between the injectivities from each terminal.
The method is suitable to work with non-equilibrium Green's functions as well
as for scattering matrix approaches. We illustrate the proposed idea by
studying the quantum spin Hall effect in graphene with disordered spin-orbit
scattering centers induced by adatoms. We use two distinct models, a finite
difference implementation of the Dirac Hamiltonian and a tight-binding
Hamiltonian combined with the scattering matrix approach and the
non-equilibrium Green's functions approach, respectively.
