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...

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Опубліковано в: :Condensed Matter Physics
Дата:2017
Автори: Ananyev, V.O., Ovchynnikov, M.I.
Формат: Стаття
Мова:Англійська
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
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author Ananyev, V.O.
Ovchynnikov, M.I.
author_facet Ananyev, V.O.
Ovchynnikov, M.I.
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.
collection DSpace DC
container_title Condensed Matter Physics
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.
first_indexed 2025-12-07T17:45:16Z
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language English
last_indexed 2025-12-07T17:45:16Z
publishDate 2017
publisher Інститут фізики конденсованих систем НАН України
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
spellingShingle On the density of states of graphene in the nearest-neighbor approximation
Ananyev, V.O.
Ovchynnikov, M.I.
title On the density of states of graphene in the nearest-neighbor approximation
title_alt Про вираз для густини станiв у графенi
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_short 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
url https://nasplib.isofts.kiev.ua/handle/123456789/157031
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