Adiabatic transport in the fraction

Adiabatic transport in the fractional QHE can be studied by the selective population and detection of fractional edge channels, achieved by means of barriers in two closely separated current and voltage contacts (Fig. 98a). The analysis using Eq. (4.33) is completely analogous to the analysis of the experiment in the integer QHE,426 discussed in Section IV.B. Figure 98b illustrates the arrangement of edge channels and incompressible bands for the case that the chemical potential lies in an energy gap for the bulk 2DEG (at ν = νbulk), as well as for the two barriers (at νI and νV for the barrier in the current and voltage lead, respectively). Adiabatic transport is assumed over the barrier, as well as from barrier I to barrier V (for the magnetic field direction indicated in Fig. 98). Equation (4.33) for this case reduces to