Wave function scarring in open ballistic quantum dots

Richard Akis, David K. Ferry, Jonathan P. Bird

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Numerical simulations of the quantum mechanical transport and corresponding wave functions of open quantum dots, with leads supporting a small number of propagating modes, have been carried out. We have found that the wave functions that coincide with some of the resonance features in the transport appear to show scarring, that is, the amplitude of the wave functions are highly concentrated along underlying single, classical trajectories. We discuss some of the conditions necessary for dot shape and size and the magnetic field for this scarring effect to become apparent. In particular, we find the nature of the leads to be quite important, with injection of the electrons via an angled, collimated beam being crucial for the excitation of a preferred set of regular, semiclassical trajectories.

Original languageEnglish (US)
Pages (from-to)3981-3985
Number of pages5
JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
Issue number6 SUPPL. B
StatePublished - Jun 1997


  • Numerical stimulation
  • Periodic orbits
  • Quantum dots
  • Scarring

ASJC Scopus subject areas

  • General Engineering
  • General Physics and Astronomy


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