Effect of edge reconstruction and electron-electron interactions on quantum transport in graphene nanoribbons

Ihnatsenka, S.; Kirczenow, George

doi:10.1103/physrevb.88.125430

Cited by 24 publications

(25 citation statements)

References 44 publications

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“…86,87 More complicated reconstructions show a change in the number of carbon atoms in the outermost rings. 85,[88][89][90][91][92] A small selection of such edge reconstructions with a changed number of carbon atoms per ring is shown in Fig. 6.…”

Section: B Reconstructed Edgesmentioning

confidence: 99%

Localized charge carriers in graphene nanodevices

Bischoff

Varlet

Simonet

et al. 2015

Applied Physics Reviews

100

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Graphene—two-dimensional carbon—is a material with unique mechanical, optical, chemical, and electronic properties. Its use in a wide range of applications was therefore suggested. From an electronic point of view, nanostructured graphene is of great interest due to the potential opening of a band gap, applications in quantum devices, and investigations of physical phenomena. Narrow graphene stripes called “nanoribbons” show clearly different electronical transport properties than micron-sized graphene devices. The conductivity is generally reduced and around the charge neutrality point, the conductance is nearly completely suppressed. While various mechanisms can lead to this observed suppression of conductance, disordered edges resulting in localized charge carriers are likely the main cause in a large number of experiments. Localized charge carriers manifest themselves in transport experiments by the appearance of Coulomb blockade diamonds. This review focuses on the mechanisms responsible for this charge localization, on interpreting the transport details, and on discussing the consequences for physics and applications. Effects such as multiple coupled sites of localized charge, cotunneling processes, and excited states are discussed. Also, different geometries of quantum devices are compared. Finally, an outlook is provided, where open questions are addressed.

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Section: B Reconstructed Edgesmentioning

confidence: 99%

Localized charge carriers in graphene nanodevices

Bischoff

Varlet

Simonet

et al. 2015

Applied Physics Reviews

100

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“…As is well confirmed by now, the impact of a single impurity on the conductance is extremely sensitive to its precise placing; the conductance can drop by an order of magnitude when shifting the adsorbate from one carbon atom to a neighboring one. Other defects, such as edge disorder 9,13 or Stone-Wales defects 12,13 , also affect the transmission but with a dramatically lower sensitivity to the precise defect location.…”

Section: Introductionmentioning

confidence: 99%

Ab initioquantum transport through armchair graphene nanoribbons: Streamlines in the current density

2014

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We calculate the local current density in pristine armchair graphene nanoribbons (AGNRs) with varying width, N C , employing a DFT-based ab-initio transport formalism. We observe very pronounced current patterns ("streamlines") with threefold periodicity in N C . They arise as a consequence of quantum confinement in transverse flow direction. Neighboring streamlines are separated by stripes of almost vanishing flow. As a consequence, the response of the current to functionalizing adsorbates is very sensitive to their placement: adsorbates located within the current filaments lead to strong backscattering while adsorbates placed in other regions have almost no impact at all.

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“…Other possible edge reconstructions, see e.g. [30][31][32], are not considered here. Note that the orientation of the graphene lattice with respect to the used coordinate system is not changed in the two stripes.…”

Section: Systemmentioning

confidence: 99%

Edge magnetotransport in graphene: A combined analytical and numerical study

Stegmann

Lorke

2015

Annalen der Physik

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The current flow along the boundary of graphene stripes in a perpendicular magnetic field is studied theoretically by the nonequilibrium Green's function method. In the case of specular reflections at the boundary, the Hall resistance shows equidistant peaks, which are due to classical cyclotron motion. When the strength of the magnetic field is increased, anomalous resistance oscillations are observed, similar to those found in a nonrelativistic 2D electron gas [New. J. Phys. 15:113047 (2013)]. Using a simplified model, which allows to solve the Dirac equation analytically, the oscillations are explained by the interference between the occupied edge states causing beatings in the Hall resistance. A rule of thumb is given for the experimental observability. Furthermore, the local current flow in graphene is affected significantly by the boundary geometry. A finite edge current flows on armchair edges, while the current on zigzag edges vanishes completely. The quantum Hall staircase can be observed in the case of diffusive boundary scattering. The number of spatially separated edge channels in the local current equals the number of occupied Landau levels. The edge channels in the local density of states are smeared out but can be made visible if only a subset of the carbon atoms is taken into account.

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Effect of edge reconstruction and electron-electron interactions on quantum transport in graphene nanoribbons

Cited by 24 publications

References 44 publications

Localized charge carriers in graphene nanodevices

Localized charge carriers in graphene nanodevices

Ab initioquantum transport through armchair graphene nanoribbons: Streamlines in the current density

Edge magnetotransport in graphene: A combined analytical and numerical study

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