Resonant tunneling and localized states in a graphene monolayer with a mass gap
1
Department of Mathematical Sciences, Loughborough University, Leicestershire, LE11 3TU, United Kingdom and Krylov Institute, St. Petersburg, Russia
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Publication type: Journal Article
Publication date: 2015-02-05
scimago Q1
wos Q2
SJR: 1.303
CiteScore: 6.2
Impact factor: 3.7
ISSN: 24699950, 24699969, 10980121, 1550235X
Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Abstract
We study tunneling of quasiparticles through potential barriers in a graphene monolayer with the mass gap using a semiclassical (WKB) approach. The main equations are derived in a way similar to the WKB theory for the Schr\odinger equation, which allows for explicit solutions at all orders. The analog of the classical action is used to distinguish types of possible stationary states in the system. The analysis focuses on the resonant scattering and the hole states localized in the vicinity of a barrier that are often overlooked. The scattering coefficients for the physically interesting limits are obtained by matching the WKB approximation with the known solutions at turning points. The localized states demonstrate unconventional properties and lead to alterations of the single particle density of states.
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Total citations:
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Citations from 2024:
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Zalipaev V. et al. Resonant tunneling and localized states in a graphene monolayer with a mass gap // Physical Review B. 2015. Vol. 91. No. 8. 085405
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Zalipaev V., Linton C. M., CROITORU M. D., Vagov A. Resonant tunneling and localized states in a graphene monolayer with a mass gap // Physical Review B. 2015. Vol. 91. No. 8. 085405
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TY - JOUR
DO - 10.1103/PhysRevB.91.085405
UR - https://doi.org/10.1103/PhysRevB.91.085405
TI - Resonant tunneling and localized states in a graphene monolayer with a mass gap
T2 - Physical Review B
AU - Zalipaev, V.
AU - Linton, C. M.
AU - CROITORU, M. D.
AU - Vagov, A.
PY - 2015
DA - 2015/02/05
PB - American Physical Society (APS)
IS - 8
VL - 91
SN - 2469-9950
SN - 2469-9969
SN - 1098-0121
SN - 1550-235X
ER -
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BibTex (up to 50 authors)
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@article{2015_Zalipaev,
author = {V. Zalipaev and C. M. Linton and M. D. CROITORU and A. Vagov},
title = {Resonant tunneling and localized states in a graphene monolayer with a mass gap},
journal = {Physical Review B},
year = {2015},
volume = {91},
publisher = {American Physical Society (APS)},
month = {feb},
url = {https://doi.org/10.1103/PhysRevB.91.085405},
number = {8},
pages = {085405},
doi = {10.1103/PhysRevB.91.085405}
}