Imaging fractal conductance fluctuations and scarred wave functions in a quantum billiard.
We present scanning-probe images and magnetic-field plots which reveal fractal conductance fluctuations in a quantum billiard. The quantum billiard is drawn and tuned using erasable electrostatic lithography, where the scanning probe draws patterns of surface charge in the same environment used for measurements. A periodicity in magnetic field, which is observed in both the images and plots, suggests the presence of classical orbits. Subsequent high-pass filtered high-resolution images resemble the predicted probability density of scarred wave functions, which describe the classical orbits.
Crook
R
R
Department of Physics, University of Cambridge, Cambridge CB3 0HE, United Kingdom.
Smith
C G
CG
Graham
A C
AC
Farrer
I
I
Beere
H E
HE
Ritchie
D A
DA