title: Imaging fractal conductance fluctuations and scarred wave functions in a quantum billiard.
abstract: 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.
authors.affiliation: Department of Physics, University of Cambridge, Cambridge CB3 0HE, United Kingdom.
authors.forename: R
authors.initials: R
authors.lastname: Crook
authors.forename: C G
authors.initials: CG
authors.lastname: Smith
authors.forename: A C
authors.initials: AC
authors.lastname: Graham
authors.forename: I
authors.initials: I
authors.lastname: Farrer
authors.forename: H E
authors.initials: HE
authors.lastname: Beere
authors.forename: D A
authors.initials: DA
authors.lastname: Ritchie