Ballistic electronic conductance of an orifice

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22 Scopus citations


We rigorously treat the quantum-mechanical ballistic propagation of a two-dimensional noninteracting-electron gas in a region where the electrons are free except for their interaction with the boundaries of the region. We compute the conductance of an orifice as a function of its width and length. The basic global structure of the conductance when the length is large reveals nearly quantized jumps of 2e2/h as the width varies. A closer inspection shows oscillatory behavior between the plateaus. Both quantization and oscillations are explained in terms of a simple description based on barrier penetration, longitudinal wave resonances, and impedance matching.

Original languageEnglish
Pages (from-to)12535-12538
Number of pages4
JournalPhysical Review B
Issue number18
StatePublished - 1 Jan 1989

ASJC Scopus subject areas

  • Condensed Matter Physics


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