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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| Published in: | Моделювання та інформаційні технології |
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| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/29632 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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.
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| ISSN: | XXXX-0068 |