Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Sub-Sharvin Conductance and Incoherent Shot-Noise in Graphene Disks at Magnetic Field

Version 1 : Received: 22 April 2024 / Approved: 23 April 2024 / Online: 23 April 2024 (09:43:55 CEST)

How to cite: Rycerz, A.; Rycerz, K.; Witkowski, P. Sub-Sharvin Conductance and Incoherent Shot-Noise in Graphene Disks at Magnetic Field. Preprints 2024, 2024041507. https://doi.org/10.20944/preprints202404.1507.v1 Rycerz, A.; Rycerz, K.; Witkowski, P. Sub-Sharvin Conductance and Incoherent Shot-Noise in Graphene Disks at Magnetic Field. Preprints 2024, 2024041507. https://doi.org/10.20944/preprints202404.1507.v1

Abstract

Highly-doped graphene samples show the conductance reduced and the shot-noise power enhanced compared to standard ballistic systems in two-dimensional electron gas. These features can be understood within a model assuming incoherent scattering of Dirac electrons between two interfaces separating the sample and the leads. Here we find, by adopting the above-mentioned model for the edge-free (Corbino) geometry and by means of the computer simulation of quantum transport, that another graphene-specific feature should be observable when the current flow through a doped disk is blocked by high magnetic field. In case the conductance drops to zero, the Fano factor approaches the value of $F\approx{}0.56$, with a very weak dependence on the disk radii ratio. The role of finite source-drain voltages and the system behavior upon tuning the electrostatic potential barrier from a rectangular to parabolic shape are also discussed.

Keywords

graphene; shot noise; Corbino disk; Landauer-Büttiker formalism

Subject

Physical Sciences, Condensed Matter Physics

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