@article{20f359c6190d4544b9d5209f2f5d2e16,
title = "Reevaluating the Hartman effect for field emission",
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. ",
keywords = "Electrons, Hartman effect",
author = "Jensen, {Kevin L.} and Andrew Shabaev and Jeanne Riga and Shiffler, {Donald A.} and Lebowitz, {Joel L.} and Rebecca Seviour",
note = "Funding Information: K.L.J. and A.S. gratefully acknowledge support from the NRL Naval Innovative Science and Engineering (NISE) program. D.A.S. and J.R. gratefully acknowledge support by the Air Force Office of Scientific Research (AFOSR) through the laboratory task 18RDCOR016, Cathode Materials Research for High Power Microwave Sources and the Air Force Office of Scientific Research Chief Scientist Laboratory Research Initiative Request No. 99DE01COR. J.L.L. was supported by AFOSR under the Award No. FA9500-16-10037. R.S. gratefully acknowledges support from the AFRL Directed Energy Chief Scientist Office and the EOARD, Grant No. FA8655-20-1-7002. Publisher Copyright: {\textcopyright} 2021 American Physical Society. US. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = dec,
day = "9",
doi = "10.1103/PhysRevA.104.062203",
language = "English",
volume = "104",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "6",
}