2009/02/28 by Jens H. Bardarson, J. H. Bardarson, M. Titov +2 · 2 citations
Materials Science · Physics and Astronomy · #Chaotic #Condensed matter physics #Conductance #Electron #Graphene #Graphene research and applications #Physics #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum dot #Quantum mechanics #Quasiparticle #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.102.226803
published as Phys. Rev. Lett. 102, 226803 (2009) · 4 pages, 4 figures; [v2] Added discussion of large aspect ratios
openalex publication_date 2009/06/05 · arxiv created 2009/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.