Electrostatic Confinement of Electrons in an Integrable Graphene Quantum Dot

J. H. Bardarson, M. Titov, and P. W. Brouwer
Phys. Rev. Lett. 102, 226803 – Published 5 June 2009

Abstract

We compare the conductance of an undoped graphene sheet with a small region subject to an electrostatic gate potential for the cases that the dynamics in the gated region is regular (disc-shaped region) and classically chaotic (stadium). For the disc, we find sharp resonances that narrow upon reducing the area fraction of the gated region. We relate this observation to the existence of confined electronic states. For the stadium, the conductance loses its dependence on the gate voltage upon reducing the area fraction of the gated region, which signals the lack of confinement of Dirac quasiparticles in a gated region with chaotic classical electron dynamics.

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  • Received 26 February 2009

DOI:https://doi.org/10.1103/PhysRevLett.102.226803

©2009 American Physical Society

Authors & Affiliations

J. H. Bardarson1, M. Titov2, and P. W. Brouwer1

  • 1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
  • 2School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom

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Issue

Vol. 102, Iss. 22 — 5 June 2009

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