Figure 2
(Color) (a) A single Fourier component (plane wave) of the planar resistivity perturbations due to bulk inhomogeneity or wire thickness variations induces current flow directional changes (arrows). The current tilts along low-resistivity wavefronts and across high-resistivity wavefronts. (b) The amplitudes of transverse current component
, generated by resistivity perturbations
(see Ref.
5), are proportional to
(color scheme). For a wire with a finite length
and width
, these amplitudes are calculated at discrete values of
, which are integer products of
and
. (c) As a consequence of this discreteness, the corrugations at long wavelengths
are suppressed when the wire becomes narrower: the density of
states becomes lower and no corresponding values of
exist along the maximum scattering amplitude line
. Here, the power spectrum of the magnetic field corrugations at
above the center of the wire is shown as a function of
for resistivity perturbations
with
. (d) For comparison, the magnetic-field corrugations above the center of the wire are shown for wires of different widths for a model assuming edge fluctuations with
. Here, short-wavelength components are suppressed when the wire becomes wider.
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