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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:0712.1407 (cond-mat)
[Submitted on 10 Dec 2007]

Title:Voltage-driven quantum oscillations in graphene

Authors:V.A. Yampol'skii, S.E. Savel'ev, Franco Nori
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Abstract: We predict unusual (for non-relativistic quantum mechanics) electron states in graphene, which are localized within a finite-width potential barrier. The density of localized states in the sufficiently high and/or wide graphene barrier exhibits a number of singularities at certain values of the energy. Such singularities provide quantum oscillations of both the transport (e.g., conductivity) and thermodynamic properties of graphene - when increasing the barrier height and/or width, similarly to the well-known Shubnikov-de-Haas (SdH) oscillations of conductivity in pure metals. However, here the SdH-like oscillations are driven by an electric field instead of the usual magnetically-driven SdH-oscillations.
Comments: 4 pages, 4 figures
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Materials Science (cond-mat.mtrl-sci)
Cite as: arXiv:0712.1407 [cond-mat.mes-hall]
  (or arXiv:0712.1407v1 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.0712.1407

Submission history

From: Savel'ev Sergey [view email]
[v1] Mon, 10 Dec 2007 07:47:06 UTC (286 KB)
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