On the density of states of graphene in the nearest-neighbor approximation

We propose an alternative analytical expression for the density of states of a clean graphene in the nearestneighbor approximation. In contrast to the previously known expression, it can be written as a single formula valid for the whole energy range. The correspondence with the previously known ex...

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Опубліковано в: :Condensed Matter Physics
Дата:2017
Автори: Ananyev, V.O., Ovchynnikov, M.I.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2017
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/157031
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On the density of states of graphene in the nearest-neighbor approximation / V.O. Ananyev, M.I. Ovchynnikov // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 43705: 1–4. — Бібліогр.: 13 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-157031
record_format dspace
spelling Ananyev, V.O.
Ovchynnikov, M.I.
2019-06-19T13:21:14Z
2019-06-19T13:21:14Z
2017
On the density of states of graphene in the nearest-neighbor approximation / V.O. Ananyev, M.I. Ovchynnikov // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 43705: 1–4. — Бібліогр.: 13 назв. — англ.
1607-324X
PACS: 71.20.Tx, 73.22.Pr
DOI:10.5488/CMP.20.43705
arXiv:1705.08120
https://nasplib.isofts.kiev.ua/handle/123456789/157031
We propose an alternative analytical expression for the density of states of a clean graphene in the nearestneighbor approximation. In contrast to the previously known expression, it can be written as a single formula valid for the whole energy range. The correspondence with the previously known expression is shown and the limiting cases are analyzed.
Ми пропонуємо альтернативний аналiтичний вираз для густини електронних станiв у чистому графенi в наближеннi найближчих сусiдiв. На противагу вже вiдомим виразам, вiн представляє собою єдину формулу, справедливу на всьому iнтервалi енергiй. Також було перевiрено вiдповiднiсть уже вiдомим виразам i дослiджено граничнi випадки.
We thank S.G. Sharapov for suggesting to reproduce the result of [4] in his lecture course on graphene and for providing a great help in writing the article. Also, we would like to thank O.O. Sobol for a helpful and productive discussion.
en
Інститут фізики конденсованих систем НАН України
Condensed Matter Physics
On the density of states of graphene in the nearest-neighbor approximation
Про вираз для густини станiв у графенi
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On the density of states of graphene in the nearest-neighbor approximation
spellingShingle On the density of states of graphene in the nearest-neighbor approximation
Ananyev, V.O.
Ovchynnikov, M.I.
title_short On the density of states of graphene in the nearest-neighbor approximation
title_full On the density of states of graphene in the nearest-neighbor approximation
title_fullStr On the density of states of graphene in the nearest-neighbor approximation
title_full_unstemmed On the density of states of graphene in the nearest-neighbor approximation
title_sort on the density of states of graphene in the nearest-neighbor approximation
author Ananyev, V.O.
Ovchynnikov, M.I.
author_facet Ananyev, V.O.
Ovchynnikov, M.I.
publishDate 2017
language English
container_title Condensed Matter Physics
publisher Інститут фізики конденсованих систем НАН України
format Article
title_alt Про вираз для густини станiв у графенi
description We propose an alternative analytical expression for the density of states of a clean graphene in the nearestneighbor approximation. In contrast to the previously known expression, it can be written as a single formula valid for the whole energy range. The correspondence with the previously known expression is shown and the limiting cases are analyzed. Ми пропонуємо альтернативний аналiтичний вираз для густини електронних станiв у чистому графенi в наближеннi найближчих сусiдiв. На противагу вже вiдомим виразам, вiн представляє собою єдину формулу, справедливу на всьому iнтервалi енергiй. Також було перевiрено вiдповiднiсть уже вiдомим виразам i дослiджено граничнi випадки.
issn 1607-324X
url https://nasplib.isofts.kiev.ua/handle/123456789/157031
citation_txt On the density of states of graphene in the nearest-neighbor approximation / V.O. Ananyev, M.I. Ovchynnikov // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 43705: 1–4. — Бібліогр.: 13 назв. — англ.
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