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Scanning-Probe Electronic Imaging of Lithographically Patterned Quantum Rings

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Book cover Physics of Quantum Rings

Part of the book series: NanoScience and Technology ((NANO))

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Abstract

Quantum rings patterned from two-dimensional semiconductor heterostructures exhibit a wealth of quantum transport phenomena at low temperature and in a magnetic field that can be mapped in real space thanks to dedicated scanning probe techniques. Here, we summarize our studies of GaInAs- and graphene-based quantum rings by means of scanning-gate microscopy both at low magnetic field, where Aharonov-Bohm interferences and the electronic local density-of-states are imaged, and at high magnetic field and very low temperatures, where the scanning probe can image Coulomb islands in the quantum Hall regime. This allows decrypting the apparent complexity of the magneto-resistance of a mesoscopic system in this regime. Beyond imaging and beyond a strict annular shape of the nanostructure, we show that this scanning-probe technique can also be used to unravel a new counter-intuitive behavior of branched-out rectangular quantum rings, which turns out to be a mesoscopic analog of the Braess paradox, previously known for road or other classical networks only.

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Acknowledgements

B. H. and F. M. are associate and postdoctoral researchers respectively with the Belgian FRS-FNRS. This work has been supported by FRFC grant no. 2.4.546.08.F and FNRS grant no 1.5.044.07.F and J.0067.13, by the Belgian Science Policy (Interuniversity Attraction Pole Program IAP-6/42) as well as by the PNANO 2007 program of the Agence Nationale de la Recherche, France (“MICATEC” project). VB acknowledges the award of a “Chaire d’excellence” by the Nanoscience Foundation in Grenoble.

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Authors and Affiliations

  1. Université Catholique de Louvain, IMCN/NAPS, Louvain-La-Neuve, Belgium

    F. Martins, D. Cabosart, B. Hackens & V. Bayot

  2. Université Grenoble Alpes, CNRS, Institut Néel, 38000, Grenoble, France

    H. Sellier & S. Huant

  3. C2N, CNRS, Univ Paris-Sud, Université Paris-Saclay, 91405, Orsay, France

    M. G. Pala

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  1. F. Martins
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  2. D. Cabosart
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Correspondence to F. Martins .

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  1. Institute for Integrative Nanosciences, Leibniz Institute for Solid State and Materials Research (IFW) Dresden, Dresden, Germany

    Vladimir M. Fomin

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Martins, F. et al. (2018). Scanning-Probe Electronic Imaging of Lithographically Patterned Quantum Rings. In: Fomin, V. (eds) Physics of Quantum Rings. NanoScience and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-95159-1_5

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