Excitonic Instability and Gap Generation in Monolayer Graphene

We analyze the excitonic instability in graphene by solving the Bethe–Salpeter equation for the electron-hole bound state. In the supercritical regime, we show that this equation has a tachyon in its spectrum. We argue that the excitonic instability is resolved through the formation of an electron-h...

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Date:2010
Main Authors: Gamayun, O.V., Gorbar, E.V., Gusyn, V.P.
Format: Article
Language:English
Published: Відділення фізики і астрономії НАН України 2010
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/13290
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Excitonic Instability and Gap Generation in Monolayer Graphene / O.V. Gamayun, E.V. Gorbar, V.P. Gusyn // Укр. фіз. журн. — 2010. — Т. 55, № 1. — С. 95-103. — Бібліогр.: 31 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We analyze the excitonic instability in graphene by solving the Bethe–Salpeter equation for the electron-hole bound state. In the supercritical regime, we show that this equation has a tachyon in its spectrum. We argue that the excitonic instability is resolved through the formation of an electron-hole condensate leading to the gap (mass) generation in the quasiparticle spectrum. Such a gap could be observed in a free standing clean graphene. За допомогою рiвняння Бете–Солпiтера для електрон-дiркового зв’язаного стану дослiджено проблему екситонної нестабiльностi в графенi. Показано, що для надкритичної константи зв’язку спектр має тахiоннi розв’язки. Екситонна нестабiльнiсть приводить до формування електрон-дiркового конденсату та щiлини у спектрi квазiчастинок. Ця щiлина може бути спостережена у графенi без домiшок.
ISSN:2071-0194