WIAS Preprint No. 1770, (2013)

Quantum transport in cylindrical semiconductor nanowires with constrictions


  • Racec, Paul N.

2010 Mathematics Subject Classification

  • 47A40 35Q40 35P25

2008 Physics and Astronomy Classification Scheme

  • 62.23.Hj 73.63.-b 72.20.Dp


  • Quantum point contact, cylindrical nanowire, Schrödinger operator, R-matrix formalism, quasi-bound states, evanescent channels




The energy dependence of the tunneling coefficient for a cylindrical semiconductor nanowire, i.e. a one-dimensional electron gas, with one or two constrictions is studied. Using the R-matrix formalism the localization probabilities at the resonant energies can be computed. They give decisive information about the physical meaning of the resonant peaks and dips that appear. The nanowire with two constrictions yields a well-defined system for the experimental evidence of the quasi-bound states of the evanescent channels. Clearly marked dips due to them should appear in the linear conductance at low temperatures.

Appeared in

  • Phys. Status Solidi B, 251 (2014) pp. 195--200 under the title ``Cylindrical semiconductor nanowires with constrictions''

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