Reevaluating the Hartman effect for field emission

Kevin L. Jensen, Andrew Shabaev, Jeanne Riga, Donald A. Shiffler, Joel L. Lebowitz, Rebecca Seviour

Research output: Contribution to journalArticlepeer-review

Abstract

An electron wave packet tunneling through a barrier has a transmission (or “group delay”) time τg that, for a rectangular barrier, is commonly held to become independent of the barrier width L as the width increases (the McColl-Hartman effect). In the present study, it is shown that first, the McColl-Hartman effect for a rectangular barrier is dependent upon L as the Gamow tunneling factor θ (k) vanishes, and τg is only independent of L when θ (k) is large; and second, for a triangular barrier to model field emission, although τg can be large for small field, it vanishes when the energy matches the barrier height.
Original languageEnglish
Article number062203
Number of pages6
JournalPhysical Review A
Volume104
Issue number6
DOIs
Publication statusPublished - 9 Dec 2021

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