Tight-Binding Computation of the STM Image of Carbon Nanotubes

Meunier, Vincent; Lambin, Ph.

doi:10.1103/physrevlett.81.5588

Cited by 120 publications

(125 citation statements)

References 24 publications

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“…The image has been corrected for the geometric distortion that stretches the apparent carbon lattice in the direction perpendicular to the tube. 20,21 The chiral angle obtained from Fig. 1͑f͒ is 21Ϯ1°.…”

Section: Methodsmentioning

confidence: 99%

Spatially resolved scanning tunneling spectroscopy on single-walled carbon nanotubes

et al. 2000

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Scanning tunneling microscope spectroscopy is used to study in detail the electronic band structure of carbon nanotubes as well as to locally investigate electronic features of interesting topological sites such as nanotube ends and bends. From a large number of measurements of the tunneling density-of-states ͑DOS͒ nanotubes can be classified, according to predictions, as either semiconducting ͑two-third of the total number of tubes͒ or metallic ͑one-third͒. The energy subband separations in the tunneling DOS compare reasonably well to theoretical calculations. At nanotube ends, spatially resolved spectra show additional sharp conductance peaks that shift in energy as a function of position. Spectroscopy measurements on a nanotube kink suggest that the kink is a heterojunction between a semiconducting and a metallic nanotube.

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Section: Methodsmentioning

confidence: 99%

Spatially resolved scanning tunneling spectroscopy on single-walled carbon nanotubes

et al. 2000

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“…The coupling between the graphene and the tip of the probes is calculated using the Tersoff-Hamann approach [49,50]:…”

Section: Transmissionmentioning

confidence: 99%

Dual-probe spectroscopic fingerprints of defects in graphene

et al. 2014

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Recent advances in experimental techniques emphasize the usefulness of multiple scanning probe techniques when analyzing nanoscale samples. Here, we analyze theoretically dual-probe setups with probe separations in the nanometer range, i.e., in a regime where quantum coherence effects can be observed at low temperatures. In a dual-probe setup the electrons are injected at one probe and collected at the other. The measured conductance reflects the local transport properties on the nanoscale, thereby yielding information complementary to that obtained with a standard one-probe setup (the local density of states). In this work we develop a real-space Green's function method to compute the conductance. This requires an extension of the standard calculation schemes, which typically address a finite sample between the probes. In contrast, the developed method makes no assumption of the sample size (e.g., an extended graphene sheet). Applying this method, we study the transport anisotropies in pristine graphene sheets, and analyze the spectroscopic fingerprints arising from quantum interference around single-site defects, such as vacancies and adatoms. Furthermore, we demonstrate that the dual-probe setup is a useful tool for characterizing the electronic transport properties of extended defects or designed nanostructures. In particular, we show that nanoscale perforations, or antidots, in a graphene sheet display Fano-type resonances with a strong dependence on the edge geometry of the perforation.

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“…The hopping integral between the tip s atom and a orbital at R of the tube is given by sp Slater-Koster form: 19,20) …”

Section: Tip Modelmentioning

confidence: 99%

“…17,18) Topographical STM images have been calculated within a tight-binding model and the appearance of the honeycomb structure has been demonstrated in infinitely long nanotubes. 19,20) The tight-binding calculation has been applied to investigate native defects in carbon nanotubes, 21) and effects of tip shape. 22) Orbital magnetic moments were shown to be induced in carbon nanotubes placed between STM probes.…”

Section: Introductionmentioning

confidence: 99%