Figure 10: The average conductance and the conductance fluctuations as
function of energy for real wire with islands, p=5(black full line), for
wire lengths 
and 
. These results can be compared with the
results for the case of real wire without islands (i.e. wire with rough edges),
, 
, and perfect wire with islands of concentration
and , 
. For wire length , 
and 
are virtually the same, so only is
shown, whereas for both averages are shown. Number of samples are:
and 
.
Some results for the average conductance and fluctuations as functions of
energy are shown in Fig. 10 for two lengths of wire, and
. The average conductance for both regimes shows no features, just a
monotonically rising curve which bends and falls off near the band centre. The
presence of both types of disorder causes a further decrease of the conductance
when compared with a wire with only one type of disorder. One can say that the
influence of islands is dominant for energies near the band edge, whereas the
influence of edge roughness becomes dominant towards the band centre. Any
feature of the conductance quantization for a single sample is quickly
destroyed by the presence of both types of disorder. The conductance
fluctuations for nearly ballistic samples () have similar values to the
fluctuations for the case of a real wire without islands, except for energies
near the band edge. However, as the wire length increases the conductance
fluctuations for a real wire with islands decreases faster then for the case
without islands. This is because strong localization sets in sooner in the
presence of islands. It was found in Nikolic and MacKinnon (1993) that the
localization length of real wires with islands is usually about half of the
localization length of real wires without islands (case of island
concentration).
The conductance fluctuations as a function of length behave like the conductance fluctuations for the case of a perfect wire with islands for energies near the band edge, but for higher energies they are similar to the case of real wires without islands.