Abstract
Ballistic electron transport in the two-dimensional electron gas (2DEG) formed at a GaAs/AlxGai_xAs heterojunction has been studied in depth both experimentally and theoretically in recent years, and remains an active research area. One-dimensional (1D) conductance quantisation (Wharam et al., 1988; van Wees et al., 1988) in a short and narrow constriction provides evidence of ballistic transport and of quantised energy levels due to lateral confinement in the constriction. Models of the constriction which assume electron phase coherence and have a hard-wall lateral confining potential lead to the prediction of length resonance effects in simple split gate devices due to multiple reflections at the ends of the channel (Kirczenow, 1988). These predictions have not proved to be easy to verify experimentally (Smith et al., 1989; Brown et al., 1989a, 1989b; Kouwenhouven et al., 1990; van Wees et al., 1991).
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Dzurak, A.S. et al. (1995). Conductance in Quantum Boxes: Interference and Single Electron Effects. In: Ferry, D.K., Grubin, H.L., Jacoboni, C., Jauho, AP. (eds) Quantum Transport in Ultrasmall Devices. NATO ASI Series, vol 342. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1967-6_10
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