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Quasi-One-Dimensional Electron Gas Bound to a Helium-Coated Nanotube

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Abstract

A much-studied system is the quasi-2D electron gas in image-potential bound states at the surface of helium and hydrogen. In this paper, we report on an analogous quasi-1D system: electrons bound by image-like polarization forces to the surface of a helium-coated carbon nanotube. The potential is computed from an electron-helium pseudopotential, plus a dynamic image term evaluated from a semi-classical model of the nanotube’s response function. Predictions are made for the bound states and potential many-body properties of this novel electron gas for a specific choice of tube radius and film thickness.

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Acknowledgments

We are grateful to S. Rotkin and S. Hernandez for several helpful conversations. M. Liebrecht gratefully acknowledge funding from the Austrian Science Fund FWF (project P21924 to Eckhard Krotscheck) and the Austrian Marshall Plan Foundation.

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Authors and Affiliations

  1. Department of Physics, Penn State University, 104 Davey Laboratory, University Park, PA, 16802, USA

    Michael Liebrecht & Milton W. Cole

  2. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenberger Straße 69, 4040, Linz, Austria

    Michael Liebrecht

  3. MathConsult GmbH, Altenberger Straße 69, 4040, Linz, Austria

    Michael Liebrecht

  4. Institute for Theoretical Physics, Johannes Kepler University, Altenberger Straße 69, 4040, Linz, Austria

    Michael Liebrecht

  5. Department of Physics, University of Vermont, Burlington, VT, 05401, USA

    Adrian Del Maestro

Authors
  1. Michael Liebrecht
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  2. Adrian Del Maestro
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  3. Milton W. Cole
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Correspondence to Adrian Del Maestro.

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Liebrecht, M., Del Maestro, A. & Cole, M.W. Quasi-One-Dimensional Electron Gas Bound to a Helium-Coated Nanotube. J Low Temp Phys 183, 264–272 (2016). https://doi.org/10.1007/s10909-015-1384-9

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  • DOI: https://doi.org/10.1007/s10909-015-1384-9

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