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We analyze electrostatic interaction between a sharp conducting tip and a thin one-dimensional wire, e.g., a carbon nanotube, in a scanned gate microscopy (SGM) experiment. The problem is analytically tractable if the wire resides on a thin…

Mesoscale and Nanoscale Physics · Physics 2010-04-02 Lingfeng M. Zhang , Michael M. Fogler

We propose an analytical formulation for the Scanning Gate Microscopy (SGM) response to local tips with arbitrary strength in two terminal nano-structures. The real space resolved conductance is expressed in terms of the unperturbed…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Ousmane Ly

We use a cooled Scanning Probe Microscope (SPM) to electron motion in nanoscale devices. The charged tip of the SPM is raster scanned at a constant height above the surface as the conductance of the device is measured. The image charge…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Sagar Bhandari , Gil-Ho Lee , Philip Kim , Robert M. Westervelt

Research in semiconductor physics has advanced to the study of two-dimensional (2D) materials where the surface controls electronic transport. A scanning probe microscope (SPM) is an ideal tool to image electronic motion in these devices by…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Sagar Bhandari , Robert M. Westervelt

We analyze electron paths in a solid-state double-slit interferometer based on the two-dimensional electron gas and their mapping by the scanning gate microscopy (SGM). A device with a quantum point source contact of a split exit and a…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 K. Kolasiński , B. Szafran

A cooled scanning probe microscope (SPM) has been used to image cyclotron orbits of electrons through high-mobility graphene in a magnetic field.1-5 In a hBN-graphene-hBN device patterned into a hall bar geometry, the magnetic field focuses…

Mesoscale and Nanoscale Physics · Physics 2016-11-16 Sagar Bhandari , Andrew Lin , Robert M. Westervelt

We study scanning gate microscopy (SGM) conductance mapping of a $\mathrm{MoS}_2$ zigzag ribbon exploiting tight-binding and continuum models. We show that, even though the edge modes of a pristine nanoribbon are robust to backscattering on…

Mesoscale and Nanoscale Physics · Physics 2020-05-18 M. Prokop , D. Gut , M. P. Nowak

We present a quantum model which provides enhanced understanding of recent transverse magnetic focusing experiments on graphene $p$-$n$ junctions. Spatially resolved flow maps of local particle current density show quantum interference and…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Samuel W LaGasse , Ji Ung Lee

We show that scanning gate microscopy can be used for probing electron-electron interactions inside a nanostructure. We assume a simple model made of two non-interacting strips attached to an interacting nanosystem. In one of the strips,…

Mesoscale and Nanoscale Physics · Physics 2008-10-07 Axel Freyn , Ioannis Kleftogiannis , Jean-Louis Pichard

We have performed scanning gate microscopy (SGM) on graphene field effect transistors (GFET), using a biased metallic nanowire coated with a dielectric layer as a contact mode tip and local top gate. Electrical transport through graphene at…

The Landauer-B\"uttiker formalism establishes an equivalence between the electrical conduction through a device, e.g., a quantum dot, and the transmission. Guided by this analogy we perform transmission measurements through three-port…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 A. M. Martínez-Argüello , A. Rehemanjiang , M. Martínez-Mares , J. A. Méndez-Bermúdez , H. -J. Stöckmann , U. Kuhl

We theoretically propose to directly observe the chiral nature of charge carriers in graphene mono- and bilayers within a controlled scattering experiment. The charge located on a capacitively coupled scanning probe microscope (SPM) tip…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Matthias Braun , Luca Chirolli , Guido Burkard

We consider conductance mapping of systems based on the two-dimensional electron gas with scanning gate microscopy using two and more tips of the atomic force microscope. The paper contains results of numerical simulations for a model tip…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 K. Kolasiński , B. Szafran , B. Hackens

An open resonator fabricated in a two-dimensional electron gas is used to explore the transition from strongly invasive scanning gate microscopy to the perturbative regime of weak tip-induced potentials. With the help of numerical…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 R. Steinacher , C. Pöltl , T. Krähenmann , A. Hofmann , C. Reichl , W. Zwerger , W. Wegscheider , R. A. Jalabert , K. Ensslin , D. Weinmann , T. Ihn

Electron flow through a quantum point contact in presence of spin-orbit coupling is investigated theoretically in the context of the scanning gate microscopy (SGM) conductance mapping. Although in the absence of the floating gate the…

Mesoscale and Nanoscale Physics · Physics 2014-07-09 M. P. Nowak , K. Kolasiński , B. Szafran

The metallic tip of a scanning force microscope operated at 300 mK is used to locally induce a potential in a fully controllable double quantum dot defined via local anodic oxidation in a GaAs/AlGaAs heterostructure. Using scanning gate…

Mesoscale and Nanoscale Physics · Physics 2011-06-20 Magdalena Huefner , Bruno Kueng , Stephan Schnez , Klaus Ensslin , Thomas Ihn , Matthias Reinwald , Werner Wegscheider

We use scanning gate microscopy to map out the trajectories of ballistic carriers in high-mobility graphene encapsulated by hexagonal boron nitride and subject to a weak magnetic field. We employ a magnetic focusing geometry to image…

Graphene provides a fascinating testbed for new physics and exciting opportunities for future applications based on quantum phenomena. To understand the coherent flow of electrons through a graphene device, we employ a nanoscale probe that…

Mesoscale and Nanoscale Physics · Physics 2010-01-29 J. Berezovsky , M. F. Borunda , E. J. Heller , R. M. Westervelt

Electronic transport in semiconducting single-wall carbon nanotubes is studied by combined scanning gate microscopy and scanning impedance microscopy (SIM). Depending on the probe potential, SIM can be performed in both invasive and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sergei V. Kalinin , Dawn A. Bonnell , Marcus Freitag , A. T. Johnson

The conductance of graphene nanoribbons and nanoconstrictions under the effect of a scanning gate microscopy tip is systematically studied. Using a scattering approach for noninvasive probes, the first- and second-order conductance…

Mesoscale and Nanoscale Physics · Physics 2023-02-20 Xianzhang Chen , Guillaume Weick , Dietmar Weinmann , Rodolfo A. Jalabert
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