Bound states in 2D fermion systems of graphen

Analytical solutions for the zero-energy modes of two-dimensional massless Dirac fermions confined within the one-dimensional Lorentz-like potential, which provides а reasonable fit for potential profiles of existing top-gated graphene structures is performed. On the basis of obtained hypergeomet...

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Veröffentlicht in:Моделювання та інформаційні технології
Datum:2009
1. Verfasser: Korostil, A.М.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України 2009
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/29632
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Bound states in 2D fermion systems of graphen / A.M. Korostil // Моделювання та інформаційні технології: Зб. наук. пр. — К.: ІПМЕ ім. Г.Є. Пухова НАН України, 2009. — Вип. 52. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-29632
record_format dspace
spelling Korostil, A.М.
2011-12-24T23:34:47Z
2011-12-24T23:34:47Z
2009
Bound states in 2D fermion systems of graphen / A.M. Korostil // Моделювання та інформаційні технології: Зб. наук. пр. — К.: ІПМЕ ім. Г.Є. Пухова НАН України, 2009. — Вип. 52. — Бібліогр.: 13 назв. — англ.
XXXX-0068
https://nasplib.isofts.kiev.ua/handle/123456789/29632
535.3+621.37
Analytical solutions for the zero-energy modes of two-dimensional massless Dirac fermions confined within the one-dimensional Lorentz-like potential, which provides а reasonable fit for potential profiles of existing top-gated graphene structures is performed. On the basis of obtained hypergeometrical equations we have studied the conditions for formation of quantum bound states providing an one-dimensional fermion localization. А simple relations between the potential parameters and number of modes within the potential are established. Possibility of realization of the external controlled charge transport in the studied 2D system is considered.
en
Інститут проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України
Моделювання та інформаційні технології
Bound states in 2D fermion systems of graphen
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Bound states in 2D fermion systems of graphen
spellingShingle Bound states in 2D fermion systems of graphen
Korostil, A.М.
title_short Bound states in 2D fermion systems of graphen
title_full Bound states in 2D fermion systems of graphen
title_fullStr Bound states in 2D fermion systems of graphen
title_full_unstemmed Bound states in 2D fermion systems of graphen
title_sort bound states in 2d fermion systems of graphen
author Korostil, A.М.
author_facet Korostil, A.М.
publishDate 2009
language English
container_title Моделювання та інформаційні технології
publisher Інститут проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України
format Article
description Analytical solutions for the zero-energy modes of two-dimensional massless Dirac fermions confined within the one-dimensional Lorentz-like potential, which provides а reasonable fit for potential profiles of existing top-gated graphene structures is performed. On the basis of obtained hypergeometrical equations we have studied the conditions for formation of quantum bound states providing an one-dimensional fermion localization. А simple relations between the potential parameters and number of modes within the potential are established. Possibility of realization of the external controlled charge transport in the studied 2D system is considered.
issn XXXX-0068
url https://nasplib.isofts.kiev.ua/handle/123456789/29632
citation_txt Bound states in 2D fermion systems of graphen / A.M. Korostil // Моделювання та інформаційні технології: Зб. наук. пр. — К.: ІПМЕ ім. Г.Є. Пухова НАН України, 2009. — Вип. 52. — Бібліогр.: 13 назв. — англ.
work_keys_str_mv AT korostilam boundstatesin2dfermionsystemsofgraphen
first_indexed 2025-11-30T21:27:14Z
last_indexed 2025-11-30T21:27:14Z
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