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Trapped Modes in Armchair Graphene Nanoribbons. / Kozlov, V. A.; Nazarov, S. A.; Orlof, A.

In: Journal of Mathematical Sciences (United States), Vol. 252, No. 5, 02.2021, p. 624-645.

Research output: Contribution to journal › Article › peer-review

Harvard

Kozlov, VA, Nazarov, SA & Orlof, A 2021, 'Trapped Modes in Armchair Graphene Nanoribbons', Journal of Mathematical Sciences (United States), vol. 252, no. 5, pp. 624-645. https://doi.org/10.1007/s10958-021-05186-9

APA

Kozlov, V. A., Nazarov, S. A., & Orlof, A. (2021). Trapped Modes in Armchair Graphene Nanoribbons. Journal of Mathematical Sciences (United States), 252(5), 624-645. https://doi.org/10.1007/s10958-021-05186-9

Vancouver

Kozlov VA, Nazarov SA, Orlof A. Trapped Modes in Armchair Graphene Nanoribbons. Journal of Mathematical Sciences (United States). 2021 Feb;252(5):624-645. https://doi.org/10.1007/s10958-021-05186-9

Author

Kozlov, V. A. ; Nazarov, S. A. ; Orlof, A. / Trapped Modes in Armchair Graphene Nanoribbons. In: Journal of Mathematical Sciences (United States). 2021 ; Vol. 252, No. 5. pp. 624-645.

BibTeX

@article{5e7297f2df0140e5bcba3afe1941a8ac,
title = "Trapped Modes in Armchair Graphene Nanoribbons",
abstract = "Scattering on an ultralow potential in an armchair graphene nanoribbon is studied. Using the continuous Dirac model and including a couple of artificial waves in the scattering process, described by an augmented scattering matrix, a condition is derived for the existence of a trapped mode. Threshold energies, where the multiplicity of the continuous spectrum changes, are considered, and it is shown that a trapped mode may appear for energies slightly less than a threshold and its multiplicity does not exceed one. For energies that are higher than a threshold, there are no trapped modes, provided that the potential is sufficiently small.",
author = "Kozlov, {V. A.} and Nazarov, {S. A.} and A. Orlof",
note = "Kozlov, V.A., Nazarov, S.A. & Orlof, A. Trapped Modes in Armchair Graphene Nanoribbons. J Math Sci 252, 624–645 (2021). https://doi.org/10.1007/s10958-021-05186-9",
year = "2021",
month = feb,
doi = "10.1007/s10958-021-05186-9",
language = "English",
volume = "252",
pages = "624--645",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Trapped Modes in Armchair Graphene Nanoribbons

AU - Kozlov, V. A.

AU - Nazarov, S. A.

AU - Orlof, A.

N1 - Kozlov, V.A., Nazarov, S.A. & Orlof, A. Trapped Modes in Armchair Graphene Nanoribbons. J Math Sci 252, 624–645 (2021). https://doi.org/10.1007/s10958-021-05186-9

PY - 2021/2

Y1 - 2021/2

N2 - Scattering on an ultralow potential in an armchair graphene nanoribbon is studied. Using the continuous Dirac model and including a couple of artificial waves in the scattering process, described by an augmented scattering matrix, a condition is derived for the existence of a trapped mode. Threshold energies, where the multiplicity of the continuous spectrum changes, are considered, and it is shown that a trapped mode may appear for energies slightly less than a threshold and its multiplicity does not exceed one. For energies that are higher than a threshold, there are no trapped modes, provided that the potential is sufficiently small.

AB - Scattering on an ultralow potential in an armchair graphene nanoribbon is studied. Using the continuous Dirac model and including a couple of artificial waves in the scattering process, described by an augmented scattering matrix, a condition is derived for the existence of a trapped mode. Threshold energies, where the multiplicity of the continuous spectrum changes, are considered, and it is shown that a trapped mode may appear for energies slightly less than a threshold and its multiplicity does not exceed one. For energies that are higher than a threshold, there are no trapped modes, provided that the potential is sufficiently small.

UR - http://www.scopus.com/inward/record.url?scp=85099024198&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/712d277c-958e-3a0e-8d1f-8181594a91c8/

U2 - 10.1007/s10958-021-05186-9

DO - 10.1007/s10958-021-05186-9

M3 - Article

AN - SCOPUS:85099024198

VL - 252

SP - 624

EP - 645

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 88366426