 
Summary: The formalism we have settled, allows currents and conductance quantization,
to gain a very detailed description of the we have then introduced a 100 sites wide
microscopic currents in the device, region of Anderson disorder with strength
discerning between equilibrium and non t/3, where t is the nearest neighbor
equilibrium components of conductances interaction in the system Hamiltonian. The
and of total currents, and corresponding total conductance is reported in Figure
population analysis [13]. We have 2(a). In figure 2(b) a map of the total
addressed the subtle problem of interplay persistent currents when E =17 meVF
between conductance quantization and (plateau region) is reported.
chirality of currents in Hallbar devices [4]
considering effects of disorder and the It is evident that these currents spread
presence of quantum point contacts all over the device and not only at the
[5].We have considered a leaddevice edges. The corruption of the sharp steps of
lead impurity free system case in the form the conductance due to disorder is evident
of a Hall bar composed by N chains even if the central part of the lowery
plateaus is preserved flat. This suggestsinfinitely extended along the xdirection,
that in the plateau regions chirality ofthreaded by a zdirected magnetic field
currents holds as shown by the spatialwith vector potential A= (By,0,0). Landau
distribution of persistent and transportlevels and edge states produced by
currents reported in figures 2(c) and 2(d).confinement are reported in Figure 1.
