Conductance quantization in mesoscopic graphene

By N. M. R. Peres, A. C. Castro Neto, Francisco Guinea. 2005

290 citations recorded by the source corpus.

Using a generalized Landauer approach we study the nonlinear transport in mesoscopic graphene with zigzag and armchair edges. We find that for clean systems, the low-bias low-temperature conductance, $G$, of an armchair edge system is quantized as $G∕\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{t}=4n{e}^{2}∕h$, whereas for a zigzag edge the quantization changes to $G∕\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{t}=4(n+1∕2){e}^{2}∕h$, where $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{t}$ is the transmission probability and $n$ is an integer. We also study the effects of a nonzero bias, temperature, and magnetic field on the conductance. The magnetic field dependence of the quantization plateaus in these systems is somewhat different from the one found in the two-dimensional electron gas due to a different Landau level quantization.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/2b7f025d9da5a210e729df7a9efd4db708ebd32f

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

In Materials Chemistry

Citations in the corpus

Quantized conductance of a suspended graphene nanoconstriction (2011, background): “Conductance quantization in zero magnetic field in graphene ribbons is expected to strongly depend on the type of edge terminatio”
Electronic properties of mesoscopic graphene structures: Charge confinement and control of spin and charge transport (2011, background): “[103] studied the transport through metallic (zero-gap) armchair nanoribbons.”
Graphene-based Plasmonic Nano-Antenna for Terahertz Band Communication in Nanonetworks (2013, unknown): “…the procedure described in [15], [29], and contrary to many existing conductivity analysis which are only valid for inﬁnitely large graphene sheets [8], [9], [11], [12], [28], [35], we do not make any simplifying assumption on the energy band structure of AGNRs, temperature or chemical potential.”
Emergence of magnetism in graphene materials and nanostructures (2010, background): “…nearest-neighbor tightbinding model predicts either metallic or semiconducting behavior for armchair nanoribbons (Barone et al., 2006; Brey et al., 2007; Ezawa, 2006; Nakada et al., 1996; Peres et al., 2006; Son et al., 2006a), and the two situations alternate as the nanoribbon’s width increases.”