Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-02-26
Phys. Rev. Lett. 102, 226803 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 4 figures; [v2] Added discussion of large aspect ratios
Scientific paper
10.1103/PhysRevLett.102.226803
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 looses 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.
Bardarson Jens Hjorleifur
Brouwer Piet. W.
Titov Maxim
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