title: Evolution of fractal patterns during a classical-quantum transition.
abstract: We investigate how fractals evolve into nonfractal behavior as the generation process is gradually suppressed. Fractals observed in the conductance of semiconductor billiards are of particular interest because the generation process is semiclassical and can be suppressed by transitions towards either fully classical or fully quantum-mechanical conduction. Investigating a range of billiards, we identify a "universal" behavior in the changeover from fractal to nonfractal conductance, which is described by a smooth evolution rather than deterioration in the fractal scaling properties.
authors.affiliation: Materials Science Institute, Physics Department, University of Oregon, Eugene, Oregon 97403-1274, USA.
authors.forename: A P
authors.initials: AP
authors.lastname: Micolich
authors.forename: R P
authors.initials: RP
authors.lastname: Taylor
authors.forename: A G
authors.initials: AG
authors.lastname: Davies
authors.forename: J P
authors.initials: JP
authors.lastname: Bird
authors.forename: R
authors.initials: R
authors.lastname: Newbury
authors.forename: T M
authors.initials: TM
authors.lastname: Fromhold
authors.forename: A
authors.initials: A
authors.lastname: Ehlert
authors.forename: H
authors.initials: H
authors.lastname: Linke
authors.forename: L D
authors.initials: LD
authors.lastname: Macks
authors.forename: W R
authors.initials: WR
authors.lastname: Tribe
authors.forename: E H
authors.initials: EH
authors.lastname: Linfield
authors.forename: D A
authors.initials: DA
authors.lastname: Ritchie
authors.forename: J
authors.initials: J
authors.lastname: Cooper
authors.forename: Y
authors.initials: Y
authors.lastname: Aoyagi
authors.forename: P B
authors.initials: PB
authors.lastname: Wilkinson