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Related Experiment Videos

Evolution of fractal patterns during a classical-quantum transition.

A P Micolich1, R P Taylor, A G Davies

  • 1Materials Science Institute, Physics Department, University of Oregon, Eugene, Oregon 97403-1274, USA.

Physical Review Letters
|July 20, 2001
PubMed
Summary

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Fractal conductance in semiconductor billiards smoothly transitions to nonfractal behavior. This universal changeover occurs as the fractal generation process is suppressed, showing evolution rather than deterioration.

Area of Science:

  • Condensed matter physics
  • Quantum chaos

Background:

  • Fractals exhibit self-similar patterns in complex systems.
  • Conductance in semiconductor billiards can display fractal characteristics.
  • The fractal generation process is semiclassical and sensitive to classical or quantum transitions.

Purpose of the Study:

  • To investigate the transition from fractal to nonfractal behavior in semiconductor billiards.
  • To understand how suppressing the fractal generation process affects conductance properties.
  • To identify universal behaviors during this changeover.

Main Methods:

  • Studied a range of semiconductor billiards.
  • Analyzed conductance properties under varying degrees of fractal generation suppression.
  • Characterized the transition from fractal to nonfractal regimes.

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Main Results:

  • Identified a universal behavior in the changeover from fractal to nonfractal conductance.
  • Observed a smooth evolution of fractal scaling properties during the transition.
  • The transition is not a deterioration but a gradual change.

Conclusions:

  • The transition from fractal to nonfractal conductance is a smooth, universal process.
  • Fractal scaling properties evolve gradually rather than degrade.
  • Understanding this transition offers insights into semiclassical and quantum transport phenomena.