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Transport and Quantum Coherence in Graphene Rings: Aharonov–Bohm Oscillations, Klein Tunneling, and Particle Localization

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Abstract

Simulating quantum transport through mesoscopic, ring-shaped graphene structures, we address various quantum coherence and interference phenomena. First, a perpendicular magnetic field, penetrating the graphene ring, gives rise to Aharonov–Bohm oscillations in the conductance as a function of the magnetic flux, on top of the universal conductance fluctuations. At very high fluxes, the interference gets suppressed and quantum Hall edge channels develop. Second, applying an electrostatic potential to one of the ring arms, \(nn'n\)- or npn-junctions can be realized with particle transmission due to normal tunneling or Klein tunneling. In the latter case, the Aharonov–Bohm oscillations weaken for smooth barriers. Third, if potential disorder comes in to play, both Aharonov–Bohm and Klein tunneling effects rate down, up to the point where particle localization sets in.

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Acknowledgements

This work was supported by Deutsche Forschungsgemeinschaft through the Collaborative Research Center SFB 652 (Project B5) and the Competence Network for Scientific High-Performance Computing in Bavaria (KONWIHR III, Project PVSC-TM). HF acknowledges the hospitality at the Los Alamos National Laboratory where part of this work was performed.

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Authors and Affiliations

  1. Institute of Physics, University Greifswald, 17487, Greifswald, Germany

    Alexander Filusch, Christian Wurl, Andreas Pieper & Holger Fehske

Authors
  1. Alexander Filusch
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  2. Christian Wurl
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  3. Andreas Pieper
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  4. Holger Fehske
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Correspondence to Holger Fehske.

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Filusch, A., Wurl, C., Pieper, A. et al. Transport and Quantum Coherence in Graphene Rings: Aharonov–Bohm Oscillations, Klein Tunneling, and Particle Localization. J Low Temp Phys 191, 259–271 (2018). https://doi.org/10.1007/s10909-017-1839-2

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  • DOI: https://doi.org/10.1007/s10909-017-1839-2

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