Conditions for Conductance Quantization in Mesoscopic Dirac Systems on the Examples of Graphene Nanoconstrictions

• Authors: G. Rut , A. Rycerz
• Languages of publication: EN

Abstracts

EN

Ballistic transport through an impurity-free section of the Corbino disk in graphene is investigated by means of the Landauer-Büttiker formalism in the mesoscopic limit. In the linear-response regime the conductance is quantized in steps close to integer multiples of 4e²/h, yet Fabry-Perot oscillations are strongly suppressed. The quantization arises for small opening angles θ ≲ π/3 and large radii ratios R_2/R_1 ≳ 10. We find that the condition for emergence of the n-th conductance step can be written as √nθ/π ≪ 1. A brief comparison with the conductance spectra of graphene nanoribbons with parallel edges is also provided.

Keywords

EN

73.63.-b; 72.80.Vp; 81.07.Vb

Discipline

• 81.07.Vb: Quantum wires
• 73.63.-b: Electronic transport in nanoscale materials and structures(see also 73.23.-b Electronic transport in mesoscopic systems)
• 72.80.Vp: Electronic transport in graphene

• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 4a
• Pages: A-114-A-118

Dates

published

2014-10

Contributors

author

G. Rut

• Marian Smoluchowski Institute of Physics, Jagiellonian University, W.S. Reymonta 4, PL-30-059 Kraków, Poland

author

A. Rycerz

• Marian Smoluchowski Institute of Physics, Jagiellonian University, W.S. Reymonta 4, PL-30-059 Kraków, Poland

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Identifiers

DOI

10.12693/APhysPolA.126.A-114