Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2

Recent theories suggest that the excitations of certain quantum Hall states may have exotic braiding statistics which could be used to build topological quantum gates. This has prompted an experimental push to study such states using confined geometries where the statistics can be tested. We study the transport properties of quantum point contacts (QPCs) fabricated on a GaAs/AlGaAs two dimensional electron gas that exhibits well-developed fractional quantum Hall effect, including at bulk filling fraction 5/2. We find that a plateau at effective QPC filling factor 5/2 is identifiable in point contacts with lithographic widths of 1.2 microns and 0.8 microns, but not 0.5 microns. We study the temperature and dc-current-bias dependence of the 5/2 plateau in the QPC, as well as neighboring fractional and integer plateaus in the QPC while keeping the bulk at filling factor 3. Transport near QPC filling factor 5/2 is consistent with a picture of chiral Luttinger liquid edge-states with inter-edge tunneling, suggesting that an incompressible state at 5/2 forms in this confined geometry

Adiabatic Transport in the Fractional Quantum Hall Effect Regime

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Carbon nanotubes

International audienceCarbon nanotubes (CNT s) are remarkable objects that once looked set to revolutionize the technological landscape in the near future. Since the 1990s and for twenty years thereafter, it was repeatedly claimed that tomorrow's society would be shaped by nanotube applications, just as silicon-based technologies dominate society today. Space elevators tethered by the strongest of cables, hydrogen-powered vehicles, artificial muscles: these were just a few of the technological marvels that we were told would be made possible by the science of carbon nanotubes. Of course, this prediction is still some way from becoming reality; most often the possibilities and potential have been evaluated, but actual technological development is facing the unforgiving rule that drives the transfer of a new material or a new device to market: profitability. New materials, even more so for nanomaterials, no matter how wonderful they are, have to be cheap to produce, constant in quality, easy to handle, and nontoxic. Those are the conditions for an industry to accept a change in its production lines to make them nanocompatible. Consider the example of fullerenes – molecules closely related to nanotubes. The anticipation that surrounded these molecules, first reported in 1985, resulted in the bestowment of a Nobel Prize for their discovery in 1996. However, two decades later, very few fullerene applications have reached the market, suggesting that similarly enthusiastic predictions about nanotubes should be approached with caution, and so should it be with graphene, another member of the carbon nanoform family which joined the game in 2004, again acknowledged by a Nobel Prize in 2010. There is no denying, however, that the expectations surrounding carbon nanotubes are still high, because of specificities that make them special compared to fullerenes and graphene: their easiness of production, their dual molecule/nano-object nature, their unique aspect ratio, their robustness, the ability of their electronic structure to be given a gap, and their wide typology etc. Therefore, carbon nanotubes may provide the building blocks for further technological progress, enhancing our standard of living. In this chapter, we first describe the structures, syntheses, growth mechanisms, and properties of carbon nanotubes. Then we introduce nanotube-based materials, which comprise on the one hand those formed by reactions and associations of all-carbon nanotubes with foreign atoms, molecules and compounds, and on the other hand, composites, obtained by incorporating carbon nanotubes in various matrices. Finally, we will provide a list of applications currently on the market, while skipping the potentially endless and speculative list of possible applications