Theory of electron injection into one-dimensional conductors
- 1 January 1989
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 1 (1), 305-309
- https://doi.org/10.1088/0953-8984/1/1/026
Abstract
A quantum theory of electron injection from a reservoir of higher dimension into a semi-infinite one-dimensional (1D) conductor is presented. Numerical results are given for simple models of narrow quantum channels in semiconductor heterostructures. It is shown that the injection process can strongly influence experimentally measured 1D conductances in ballistic or near-ballistic regimes. It should contribute in a major way to the observed deviations from perfect quantisation of the 1D ballistic conductance. The possibility of resonances in the conductance of finite channels is briefly discussed.Keywords
This publication has 5 references indexed in Scilit:
- Quasi-one-dimensional electron states in a split-gate GaAs/AlGaAs heterostructureSurface Science, 1988
- The theory of quantised resistance in narrow constrictionsJournal of Physics C: Solid State Physics, 1988
- What is measured when you measure a resistance?—The Landauer formula revisitedIBM Journal of Research and Development, 1988
- One-dimensional transport and the quantisation of the ballistic resistanceJournal of Physics C: Solid State Physics, 1988
- Quantized conductance of point contacts in a two-dimensional electron gasPhysical Review Letters, 1988