Theoretical Analysis of a Dual-Probe Scanning Tunneling Microscope Setup on Graphene

Settnes, Mikkel; Power, Stephen R.; Petersen, Dirch Hjorth; Jauho, Antti–Pekka

doi:10.1103/physrevlett.112.096801

Cited by 34 publications

(49 citation statements)

References 56 publications

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“…The oscillations have the same origin as these investigated in real space in Ref. [41] while scanning one probe around the impurity. We notice the same effect for vacancy positions everywhere outside the high-symmetry positions.…”

Section: A Impurity Positionsmentioning

confidence: 50%

“…This was also observed in Ref. [41] where one probe scanned around the defect position to obtain a real-space image of the transmission change. …”

Section: Simple Defectsmentioning

confidence: 78%

“…The demonstrated features of the dual-probe setup, such as conductance mapping [41] and spectroscopic analysis, suggest that it has a high potential for applications in the exploration of transport properties on the nanometer scale.…”

Section: Discussionmentioning

confidence: 99%

“…However, we previously discussed the effect of ripples on dual-probe scanning mode calculations in Ref. [41].…”

Section: Transmissionmentioning

confidence: 99%

“…In a recent work [41], the present authors proposed a dual-probe setup keeping one fixed probe while the other probe operates in the scanning mode. We used real-space conductance maps to explore quantum interference effects near defects and edges in graphene.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: A Impurity Positionsmentioning

confidence: 50%

“…This was also observed in Ref. [41] where one probe scanned around the defect position to obtain a real-space image of the transmission change. …”

Section: Simple Defectsmentioning

confidence: 78%

Section: Discussionmentioning

confidence: 99%

“…However, we previously discussed the effect of ripples on dual-probe scanning mode calculations in Ref. [41].…”

Section: Transmissionmentioning

confidence: 99%

Section: Introductionmentioning