Resonant scattering in graphene with a gate-defined chaotic quantum dot

Details Resonant scattering in graphene with a gate-defined chaotic quantum dot Resonant scattering in graphene with a gate-defined chaotic quantum dot

2011-06-17

arxiv.org/abs/1106.3535v2

Phys. Rev. B 84, 115440 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 4 figures

Scientific paper

10.1103/PhysRevB.84.115440

We investigate the conductance of an undoped graphene sheet with two metallic contacts and an electrostatically gated island (quantum dot) between the contacts. Our analysis is based on the Matrix Green Function formalism, which was recently adapted to graphene by Titov {\em et al.} [Phys.\ Rev.\ Lett.\ {\bf 104}, 076802 (2010)]. We find pronounced differences between the case of a stadium-shaped dot (which has chaotic classical dynamics) and a disc-shaped dot (which has integrable classical dynamics) in the limit that the dot size is small in comparison to the distance between the contacts. In particular, for the stadium-shaped dot the two-terminal conductance shows Fano resonances as a function of the gate voltage, which cross-over to Breit-Wigner resonances only in the limit of completely separated resonances, whereas for a disc-shaped dot sharp Breit-Wigner resonances resulting from higher angular momentum remain present throughout.

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