Tunneling by an electron packet with an initially sharp wavefront

N. Teranishi, A. M. Kriman, D. K. Ferry

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

We have studied the time behavior of electron wavepackets traversing one-dimensional potentials. These packets are described as plane wave states that have been cut off to give a sharp initial wavefront. We find that the shift, or delay time, of the main part of the pulse is comparable to that of a Gaussian wavepacket with the same momentum, and that both kinds of pulses have the same broad-pulse (sharp-momentum) limit. This is shown to hold for a general class of potentials. We show explicitly that the steepest descents calculation described by Stevens does not lead to a finite tunneling velocity. An exact expression is given for the packet transmitted through a delta-function barrier, which suggests a new interpretation of the tunneling velocity that has been obtained in other calculations.

Original languageEnglish (US)
Pages (from-to)509-514
Number of pages6
JournalSuperlattices and Microstructures
Volume3
Issue number5
DOIs
StatePublished - 1987

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Wavefronts
Momentum
Delta functions
Electrons
pulses
momentum
Time delay
electrons
delta function
descent
plane waves
time lag
cut-off
shift

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Tunneling by an electron packet with an initially sharp wavefront. / Teranishi, N.; Kriman, A. M.; Ferry, D. K.

In: Superlattices and Microstructures, Vol. 3, No. 5, 1987, p. 509-514.

Research output: Contribution to journalArticle

Teranishi, N. ; Kriman, A. M. ; Ferry, D. K. / Tunneling by an electron packet with an initially sharp wavefront. In: Superlattices and Microstructures. 1987 ; Vol. 3, No. 5. pp. 509-514.
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