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Abstract: We discuss the time spent by an electron propagating through a finiteperiodic system such as a semiconductor superlattice. The relation betweendwell-time and phase-time is outlined. The envelopes of phase-time at maximumand minimum transmission are derived, and it is shown that the peaks andvalleys of phase-time can be well described by parameters fitted at theextrema. For a many-period system this covers most of the allowed band.Comparison is made to direct numerical solutions of the time-dependentSchr\-odinger equation by Veenstra et al. cond-mat-0411118 who comparedsystems with and without addition of an anti-reflection coating ARC. With anARC, the time delay is consistent with propagation at the Bloch velocity of theperiodic system, which significantly reduces the time delay, in addition toincreasing the transmissivity.



Author: D. W. L. Sprung, W. van Dijk, C. N. Veenstra, J. Martorell

Source: https://arxiv.org/







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