Evolution of Fractal Patterns during a Classical-Quantum Transition

Journal Article · Mon Jul 16 00:00:00 EDT 2001 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.87.036802· OSTI ID:40277125

Micolich, A P; Taylor, R P; Davies, A G; Bird, J P; Newbury, R; Fromhold, T M; Ehlert, A; Linke, H; Macks, L D; Tribe, W R ^[1]

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1. and others

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.

• Sponsoring Organization: (US)
• OSTI ID: 40277125
• Journal Information: Physical Review Letters, Vol. 87, Issue 3; Other Information: DOI: 10.1103/PhysRevLett.87.036802; Othernumber: PRLTAO000087000003036802000001; 036128PRL; PBD: 16 Jul 2001; ISSN 0031-9007
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FRACTALS
ELECTRONIC STRUCTURE
ELECTRICAL PROPERTIES
GALLIUM ARSENIDES
ALUMINIUM COMPOUNDS